A company prints designs on t-shirts. They charge $30 for set up cost plus $12 per shirt. Complete the table of values for this situation.
Answer:
what table values tell me and ill answer
1(tshirt)-42 2-84 and so on if thats what you need
Step-by-step explanation:
ill type in comments then you can give me brainliest
Please help!! It would be much appreciated!
Answer:
Power property for both
Step-by-step explanation:
The power property of logarithms says that if there is an exponent in a logarithm, then that exponent can be pulled to the front.
In the first question, 5 is at the front of the logarithm because it has been pulled from 3. If you move the 5 back to the 3, it would be 3^5, which is 243.
In the second question, 2 is at the front of the logarithm as it has been pulled from the 9. If you move the 2 back to the 9, it would be 9^2, or 81.
Example:
log10^2 would be equal to 2log10.
Solve the differential equation (Show your work). \[ 7 x^{6} \cos y d x-d y=0 \]
The solution to the given differential equation is: x⁷ cos y = y + C
where C is the constant of integration
To solve the given differential equation:
\(\[7x^6\cos y dx - dy = 0\]\)
We can separate the variables and integrate both sides.
Separating variables, we can write the equation as:
\(\[7x^6\cos y dx = dy\]\)
Now, we can integrate both sides with respect to their respective variables:
\(\[\int 7x^6\cos y dx = \int dy\]\)
Integrating the left side:
\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)
To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.
Let's take u = x⁶ and \(\(dv = \cos y dx\)\).
Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)
Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)
Applying the integration by parts formula:
\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)
Substituting the values:
\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)
Simplifying:
\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)
Moving the integral term to the left side:
\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)
Dividing both sides by 7:
\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)
Now, substituting this result back into our original equation:
\(\[7 \int x^6 \cos y dx = dy\]\)
\(\[\frac{7x^7 \cos y}{7} = dy\)
Simplifying:
x⁷ cos y = dy
Finally, the solution to the given differential equation is:
x⁷ cos y = y + C
where C is the constant of integration.
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please help me im so confused
3/10 of the members of a tennis club are men. 5/6 of these men are right handed. work out the fraction of members of the tennis club who are right handed
=============================================================
Explanation:
Let's say there are 60 members at the club. I picked this value since 10*6 = 60, which is the product of the denominators. This will help give us whole numbers in the steps shown below. You can pick any number you want for the club size.
Since we have 60 members and 3/10 of them are men, this means (3/10)*60 = 18.
So there are 18 men at this club.
--------------
Next, we're told that 5/6 of the men are right handed. So (5/6)*18 = 15 men are right handed.
Lastly, we divide that last result (15) over the total number of club members (60) and we end up with 15/60 = (1*15)/(4*15) = 1/4
Therefore, 1/4 of the members are men who are right handed.
Unfortunately, we don't have enough data to be able to say anything about what fraction of the women are right handed.
--------------
Note that:
(3/10)*(5/6) = (3*5)/(10*6) = 15/60 = 1/4
which is an alternative pathway to the solution.
there are 20 jolly ranchers in a bag: 4 grape (purple), 3 cherry (red), 2 watermelon (red), 5 green apple, and 6 blue raspberry. if one candy is chosen at random from the bag, then what are the odds against choosing a red jolly rancher?
Using the Probability, The probability that odds against choosing a red jolly rancher is 9/10 .
we have given that
total jolly rencher in a bag = 20
total grapes which are purple in a bag = 4
total watermelon which is red in a bag = 2
total number of blue rasberry in a bag = 6
total number of green apples in a bag = 5
One candy is choose at random from a bag .
we have to find the probability that odds against choosing red jolly rancher i.e not red jolly rancher .
total favourble outcomes for red jolly rancher= 2
probability of choosing of red jolly rancher (p)
= 2/20 = 1/10
The probability of odds against choosing a red jolly rancher = 1 - p = 1 - 1/10 = 9/10
So, the probability of odds against choosing a red jolly rancher is 9/10.
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After solving a quadratic equation using the quadratic formula, what do the 2 solutions mean?
Answer:
those are your two answers
Step-by-step explanation:
A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?
(b) Describe the distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from parts (a) and (c) if the lifespans of light bulbs had a skewed distribution?
A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:
A normal distribution with,
μ = 9000
σ = 1000
a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.
x = 105000 - 9000 / 1000 ≈ 1.50
Determine the corresponding probability using the normal probability table in appendix,
P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)
= 1 - 0.9332 = 0.0668.
b) n = 15
The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.
The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
μ = 1000/√15 = 258.19
c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
The z-value is the sample mean decreased by the population mean, divided by the standard deviation:
z = x-u/σ/√n = 10500-9000/1000√15 = 5.81
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A survey of 1720 parents of 13- to 17-year-olds found that 678 of the 1720 parents have checked their teen's social media profile. Identify the population. Choose the correct answer below. A. The collection of responses of all parents B. The collection of responses of the 678 parents of 13- to 17-year-olds who said they have checked their teen's social media profile C. The collection of responses of the 1720 parents of 13- to 17-year-olds surveyed D. The collection of responses of parents of 13- to 17-year-olds Identify the sample
The population is the collection of parents of 13- to 17-year-olds. The sample is the 1720 parents surveyed.
The population in this survey is option D: the collection of responses of parents of 13- to 17-year-olds. The sample in this case is option C: the 1720 parents of 13- to 17-year-olds who were surveyed.
In this scenario, the population refers to the entire group of interest, which is parents of 13- to 17-year-olds. The survey aims to gather information about this entire group, so the population is defined as the collection of responses from all parents of 13- to 17-year-olds.
On the other hand, the sample is a subset of the population that is selected and surveyed. In this case, the sample consists of the 1720 parents of 13- to 17-year-olds who participated in the survey. The sample is used to gather data and draw conclusions about the larger population.
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suppose a juice box contains 30% juice with the remaining portion of the drink composed of water. what is the solute in this type of juice box?
Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.
Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.
Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.
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real life application of APPROXIMATION
Answer:
Numbers and calculations are approximated by rounding off. Examples are if there is an answer as 76.89 then it is approximated and considerd as 77. We use approximation in day to day life for the rough calculations of numbers and math.
Answer:
We use approximation when we try to figure out the time it would take to reach a certain place by car. When you're shopping in the grocery store and trying to stay within a budget, for example, you estimate the cost of the items you put in your cart to keep a running total in your head.Explain in words why there is a factor of 2 (or 1/2) in the Virial theorem. Or in other words, what if there is no factor of 2 (i.e. KE=PE) ? Comment, therefore, on a key requirement to apply the Virial Theorem to an astrophysical problem.
The factor of 2 in the Virial theorem accounts for the balance between average kinetic energy and average potential energy in a system. Without this factor, the theorem would inaccurately represent the energy equilibrium.
The Virial theorem is a fundamental principle in physics that relates the average kinetic energy (KE) of a system to its average potential energy (PE). The theorem states that in a stable system, the average kinetic energy is equal to minus one-half times the average potential energy, or KE = -1/2 PE. The factor of 2 in the theorem is crucial for this relationship to hold.
To understand the significance of this factor, let's consider a hypothetical scenario where there is no factor of 2 in the Virial theorem, meaning KE = PE. In this case, the theorem would suggest an equal balance between kinetic and potential energies. However, this assumption contradicts our understanding of typical astrophysical systems.
Astrophysical systems, such as galaxies, stars, or even gas clouds, often possess a significant amount of gravitational potential energy. If there were no factor of 2, the theorem would imply that the kinetic energy of these systems is equal to the gravitational potential energy. This would imply that the system is on the verge of collapse or expansion, which is not usually the case for stable systems.
The factor of 2 in the Virial theorem accounts for the fact that the average kinetic energy of particles in a system is typically twice as large (in magnitude) as the average potential energy. This factor arises due to the virialization process, where particles oscillate between kinetic and potential energy as they interact with each other. The factor of 2 allows for a more accurate representation of the balance between these energies in a stable system.
In conclusion, the factor of 2 in the Virial theorem is essential to accurately describe the relationship between the average kinetic and potential energies in astrophysical systems. Without this factor, the theorem would fail to capture the typical energy balance observed in stable systems.
The Virial theorem is a powerful tool used in various fields of astrophysics, including the study of galaxies, star clusters, and even the dynamics of gas in the interstellar medium. Understanding its derivation and applications can provide deeper insights into the behavior and evolution of these astronomical systems.
Additionally, exploring the concept of virialization and how it relates to the factor of 2 in the Virial theorem can shed light on the dynamical processes occurring within these astrophysical environments.
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Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of exactly $30?
Answer:The answer would be 20 books divide 15 \ 1.50 equals 10 then multiply 10 by 2
Step-by-step explanation:
The number of books sold by Holly and Ethan to get a profit of $30 will be 20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.
The number of books will be calculated as,
1.5x = 30
x = 30 / 1.5
x = 20
Therefore, the number of books sold by Holly and Ethan to get a profit of $30 will be 20.
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using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant
Answer:
maximum: 40minimum: -10midline: 15amplitude: 25rate constant: ??Step-by-step explanation:
The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.
The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.
The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.
The amplitude is the difference between the maximum and the midline:
40 -15 = 25.
__
The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to consult your text or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)
The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.
the rectangular garden shown has a width of 50 feet and a length of 45 feet and is surrounded by a paved path with a uniform width of x feet. if the combined area of the garden and the paved path is 2646 square feet, what is the value of x ?
Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.
The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,
we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.
Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet
Paved path:
If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.
Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50
The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet
= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675
We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646
= 64x² + 760x + 675 - 264664x² + 760x - 1971
= 0(8x - 27) (8x + 73) = 0
The value of x cannot be negative,
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Write 5.24 as a mixed number in simplest form.
5.24 =
Step-by-step explanation:
5 +0.24 = 5 + 24 = 12 = 6
100 50 25
= 5 6
25
define a method computeval() that takes one integer parameter and returns the parameter plus 7. ex: if the input is 3, then the output is: 10
To define a method computeval() that takes one integer parameter and returns the parameter plus 7, you can use the following code:
For example, if the input is 3, the output is 10:
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
the answer is angle E
Step-by-step explanation:
to find it
for angle A and D can be equal because of exterior angle and vertical opposite angle(VOA) respectively
for angle F it can be (VOA)
but E can't be the supplementary angle
pls no 21 - 23 show all workings. I will mark you brainliest if you show all workings
You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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6) −3 + 3k = −27
solve
Answer:
k = -8
Step-by-step explanation:
−3 + 3k = −27
⇔ -3 + 3k +3 = -27 +3
⇔ 3k = -24
⇔ k = -8
Answer:
Step-by-step explanation:
6) −3 + 3k = −27
k= -10
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
The area of square four is a² + b² + 2ab
How to calculate the area of square and triangleThe area of a square = l²
The Area so the two square = a² + b²
Area of the triangles = 4(0.5ab) = 2ab
Add the area together
Area of the square four = area of square + area of 4 triangles
Area of the square four = a² + b² + 2ab
Hence the area of the square four is a² + b² + 2ab
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Do the lengths form a right triangle? 6, 8, 10
Answer:
is 58
Step-by-step explanation:
Answer: there are 2 answers
Step-by-step explanation:
They are equal, and thus, the triangle is a right triangle. ... When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.
Mr. Brown is painting his office. He has 3 cans of paint. Each can has 3/12 of a gallon. If he uses all the paint, what fraction of the paint will he have used?
Given that Mr. Brown has 3 cans of paint. Each can has 3/12 of a gallon. To find the fraction of the paint he will have used, we need to multiply the number of cans with the amount of paint each can has.
So, we get:3 cans of paint x 3/12 gallon of paint in each can
= 9/12 of paint in total
= 3/4 of paint in total
Therefore, Mr. Brown will have used 3/4 or three-fourths of the paint.
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(3 1/3) (6) What is the answer?
Answer:
20
Step-by-step explanation:
(6x3=18) (6x1/3=2) (18+2=20)
First things first!
Multiply 6 by 3 (18).
Mulitply 6 by 1/3 (2).
Add 18 and 2, and ... *drum roll*, the final answer is 20!
Hope this helps :)
Question 3 (5 points)
Find the equation of a parabola with a focus at (-2,-3) and a directrix at y = -5
The equation of a parabola with a focus at (-2,-3) and a directrix at y = -5 is y = 1/7(x + 2)^2 - 8/7 vertex is (2, -8/7)
What is Parabola?
A parabola is the location of a moving point whose distance from a given focus point and directrix line, respectively, is always constant.
let's keep it simple: (x, y). Focus is on (7,5)
When the separation from focus is
\(\sqrt{(x - (-2)^{2}) + (y - (-3)^{2} ) }\) . Its distance from directrix y = -5 i.e.
y + 5 = |y + 5|^2
Hence, equation of parabola:
(x - (-2))^2 + (y - (-3))^2 = |y + 5|^2
or, (x + 2)^2 + (y + 3)^2 = |y + 5|^2
x^2 + 4x + 4 + y^2 + 3y + 9 = y^2 + 10y + 25
or, x^2 + 4x + 13 + y^2 + 3y = y^2 + 10y + 25
x^2 + 4x - 12 = 7y
y = (x^2 + 4x - 12)/7
y = 1/7(x^2 + 4x +4 - 4) - 12/7
y = 1/7(x + 2)^2 - 12-4/7
y = 1/7(x + 2)^2 - 8/7
Hence, parabola's equation is y = 1/7(x + 2)^2 - 8/7 vertex is (2, -8/7)
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An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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i need the explaination and the answer. thank u
Step-by-step explanation:
The americium is represented as 1. Every 432 years it decreases by 50%.
First half-life:
432 years.
\(1 \div 2 = 0.50\)
0.50 (1/2) of americium remains after 432 years.
Second half-life:
\(432 \times 2 = 864\)
\(0.5 \div 2 = 0.25\)
0.25 (1/4) of the americium remains.
Third half-life:
\(432 \times 3 = 1296\)
\(0.25 \div 2 = 0.125\)
0.125 (1/8) of the americium remains.
Last half-life:
\(432 \times 4 = 1728\)
\(0.125 \div 2 = 0.0625\)
0.0625 (1/16) of the americium remains.
Option B is correct.
In Las Vegas,Nevada,The skies are clear on 92% of the days.How many days in the month of June would you expect the skies to be clear in Las Vegas?
Answer:
Step-by-step explanation:
66
you are flying a kite in a competition and the length of the string is 725 feet and the angle at which the kite is flying measures 35 grades with the ground. how high is your kite flying?
help, please :)
The height of the kite is determined as 415.8 feet.
What is the height of the kite?The height of the kite is calculated by applying trigonometry ratio as follows;
The trig ratio is simplified as;
SOH CAH TOA;
SOH ----> sin θ = opposite side / hypothenuse side
CAH -----> cos θ = adjacent side / hypothenuse side
TOA ------> tan θ = opposite side / adjacent side
The height of the kite is calculated as follows;
The hypothenuse side of the triangle = length of the string = 725 ft
The angle of the triangle = 35⁰
sin 35 = h/L
h = L x sin (35)
h = 725 ft x sin (35)
h = 415.8 ft
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Determine which integer makes the inequality 4(n − 8) < 2(n + 6) true.
S:{44}
S:{32}
S:{22}
S:{20}
For S:{20} the inequality 4(n − 8) < 2(n + 6) will be True where n is natural number
In the above question, an inequality is given where n is natural number
4(n − 8) < 2(n + 6)
We need to find the value of n from the given options for which this inequality is true
To do so, we'll put the values one by one and check
1) S:{44}
4(n − 8) < 2(n + 6)
4(44 − 8) < 2(44 + 6)
144 < 100
Which is not true
2) S:{32}
4(n − 8) < 2(n + 6)
4(32 − 8) < 2(32 + 6)
96 < 76
Which is not true
3) S:{22}
4(n − 8) < 2(n + 6)
4(22 − 8) < 2(2 + 6)
56 < 16
Which is not true
4) S:{20}
4(n − 8) < 2(n + 6)
4(20− 8) < 2(20 + 6)
48 < 52
Which is true
Hence, For S:{20} the inequality 4(n − 8) < 2(n + 6) will be True where n is natural number
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