using the results of part (a) find an orthonormal should be parallel to v0 and {w0,w1} should span the same subspace as {v0,v1}.
Answers
Given that v0 = (2, 1, -2), v1 = (-2, 1, 1), and v2 = (1, 2, 2), we can find the orthonormal basis that should be parallel to v0, and w0 and w1 should span the same subspace as v0 and v1.To find the orthonormal basis that should be parallel to v0.
we need to follow these steps:
Let v0 be a vector in Rn with nonzero norm ||v0||, and let V be the subspace of Rn that is perpendicular to v0 (so if y is in V, then y·v0 = 0).
Then, we can construct an orthonormal basis {v1, . . . , vp} for V, and {v0/v0, v1, . . . , vp} will be an orthonormal basis for Rn.
To find {v1, . . . , vp}, we apply Gram-Schmidt to the basis {v0, v1, . . . , vp}.
Specifically, we compute vi' = vi - projv0vi for i = 1, . . . , p.
This ensures that {v1, . . . , vp} are all in V and that {v0/v0, v1, . . . , vp} is an orthonormal basis for Rn that is parallel to v0.
So, in this case, we can take v0 = (2, 1, -2), which has norm ||v0|| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9) = 3.
Now, we need to find w0 and w1 that span the same subspace as v0 and v1. Since {v0, v1} is a basis for this subspace, any two linearly independent vectors in this subspace will span the same subspace. So, we can just pick any two such vectors. Let w0 = (2, 1, -2) and w1 = (-2, 5, 1).
We claim that {w0, w1} is linearly independent and spans the same subspace as {v0, v1}.To show that {w0, w1} is linearly independent, suppose that aw0 + bw1 = 0 for some scalars a and b. Then, we have(2a - 2b, a + 5b, -2a + b) = (0, 0, 0).This gives us two equations:2a - 2b = 0a + 5b = 0
Solving for a and b, we geta = 5/7 and b = -2/7.
Since a and b are not both zero, this shows that {w0, w1} is linearly independent.
To show that {w0, w1} spans the same subspace as {v0, v1}, we need to show that every vector in this subspace can be written as a linear combination of w0 and w1. Let (x, y, z) be any vector in this subspace.
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Related Questions
how many eighth size parts do you need to model 3/4
Answers
Answer:
You need 6, 1/8 parts to make 3/4
Step-by-step explanation:
The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4
6/8ths is the correct answer
bruh
Tre has 10 pencils and will has 14 pens what is the ratio of pencils to pens
Answers
The ratio of pencils to pens can be calculated by dividing the number of pencils by the number of pens. In this case, the ratio of pencils to pens is 10/14.
A ratio is a way to compare two or more values or quantities. It is expressed as a fraction or as a colon-separated pair of numbers. The first number in the ratio represents the number of units of the first quantity, and the second number represents the number of units of the second quantity.
In the case of the ratio of pencils to pens, the first quantity is the number of pencils and the second quantity is the number of pens. To calculate the ratio, you divide the number of pencils by the number of pens. In this case, you would divide 10 by 14, which is equal to 10/14 or 5/7.
The ratio can be expressed as either a fraction or as a colon-separated pair of numbers. In this case, the ratio of pencils to pens is either 5/7 or 5:7.
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Mr. Jaxon tips 25% of the dinner bill before tax. The expression 0.25(102−x) models the tip amount for a total bill of $102, where x is the dollar amount of tax. Mr. Jaxon tips $23.50. How much is the tax?
Answers
Answer: 1.02
Step-by-step explanation:because it is
The tax amount for the dinner bill can be calculated with the given expression.The tax amount for the dinner bill given by Mr jaxon is $8.
Given-
Total Total amount of the bill dinner is $102.
Tips given by Mr. Jaxon \(t\) percent is 25 percent of the dinner bill before tax.
The expression for the tip amount \(t\) can be model as,
\(t=0.25(102-x)\)
Here \(x\) is the tax amount.
Put the value of the tip in the above expression we get,
\(23.5=0.25(102-x)\)
Divide by 0.25 both side, we get,
\(\dfrac{23.5}{0.25} =(102-x)\)
\(94 =(102-x)\)
Rewrite the equation for the \(x,\)
\(x=102-94\)
\(x=8\)
Thus, the tax amount for the dinner bill given by Mr jaxon is $8.
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a study of two kinds of machine failures shows that 58 failures of the first kind took on the average 79.7 minutes to repair with a sample standard deviation of 18.4 minutes, whereas 71 failures of the second kind took on average 87.3 minutes to repair with a sample standard deviation of 19.5 minutes. find a 99% confidence interval for the difference between the true average amounts of time it takes to repair failures of the two kinds of machines.
Answers
It can be 99% confident that the true average amount of time it takes to repair the second kind of machine failure is within the range of -16.2 to 1.0 minutes longer than the first kind.
We have to give that,
A study of two kinds of machine failures shows that 58 failures of the first kind took on average 79.7 minutes to repair with a sample standard deviation of 18.4 minutes.
And, 71 failures of the second kind took on average 87.3 minutes to repair with a sample standard deviation of 19.5 minutes.
Let's denote the average repair time for the first kind of machine failure as μ₁ and the average repair time for the second kind as μ₂.
Here, For the first kind of machine failure:
n₁ = 58,
x₁ = 79.7 minutes,
s₁ = 18.4 minutes.
For the second kind of machine failure:
n₂ = 71,
x₂ = 87.3 minutes,
s₂ = 19.5 minutes.
Now, calculate the 99% confidence interval using the following formula:
CI = (x₁ - x₂) ± t(critical) × √(s₁²/n₁ + s₂²/n₂)
For a 99% confidence level, the Z-score is , 2.576.
So, plug the values and calculate the confidence interval:
CI = (79.7 - 87.3) ± 2.576 × √((18.4²/58) + (19.5²/71))
CI = (- 16.2, 1) minutes
So, It can be 99% confident that the true average amount of time it takes to repair the second kind of machine failure is within the range of -16.2 to 1.0 minutes longer than the first kind.
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(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answers
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
\(\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3\)
Therefore, the correct choice is D
Given the information below, find the exact values of the
remaining trigonometric functions.
sec(theta) = 6
with theta in Quadrant IV
sin=
cos=
tan=
csc=
cot=
Answers
The values of the remaining trigonometric functions as follows:
sin(θ) = -√35/6,
cos(θ) = 1/6,
tan(θ) = -√35,
csc(θ) = -6√35/35,
cot(θ) = -√35/35.
Given that sec(θ) = 6 and θ is in Quadrant IV, we can find the values of the remaining trigonometric functions as follows:
First, we know that sec(θ) is the reciprocal of cos(θ).Therefore, if sec(θ) = 6, then cos(θ) = 1/6.
Since theta is in Quadrant IV, we know that the cosine is positive and the sine is negative. Therefore, sin(θ) = -√(1 - cos²(θ)) = -√(1 - (1/6)²) = -√(1 - 1/36) = -√(35/36) = -√35/6.
Using sin(θ) and cos(θ), we can find the remaining trigonometric functions:
tan(θ) = sin(θ) / cos(θ) = (-√35/6) / (1/6) = -√35.
csc(θ) = 1 / sin(θ) = 1 / (-√35/6) = -6/√35 = -6√35/35 = -6√35/35.
cot(θ) = 1 / tan(θ) = 1 / (-√35) = -1/√35 = -√35/35.
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PLEASE HELP! 43 POINTS
Brenda invited 32 people to her graduation party. If each person will drink about 3 cups of punch, how many gallons of punch does Brenda’s mom need to buy?
How many quarts is this equal to?
Answers
Answer:
1 gallon = 16 cups
3 cups per person
32 people
32x3=96/16=6
she needs 6 gallons
Repeated multiplication is used for converting a decimal fraction to binary. In this operation, which digit is produced as a product of the first multiplication? Is it the least significant digit of the answer or the most significant digit of the answer?
Answers
The first multiplication in the process of converting a decimal fraction to binary using repeated multiplication produces the least significant digit of the binary representation.
When converting a decimal fraction to binary using repeated multiplication, the first multiplication will produce the least significant digit of the binary representation.
To convert a decimal fraction to binary using repeated multiplication, the decimal fraction is multiplied by 2 repeatedly. The integer part of the product is the binary digit, and the fractional part is used for the next iteration. The process is repeated until the desired precision is achieved.
The multiplication starts with the fractional part of the decimal fraction, and the first multiplication determines the least significant bit (LSB) of the binary representation. Subsequent multiplications will determine the remaining bits from least significant to most significant.
Therefore, the first multiplication produces the least significant digit of the answer in the binary representation.
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the 2010 census found that 13.9% of adults in the united states identified themselves as being of hispanic origin. an opinion poll plans to interview 1500 adults at random. (a) what is the mean of the sampling distribution of the proportion of individuals of hispanic origin for samples of this size? 0.0139 89 0.0089 0.139 what is the standard deviation of the sampling distribution of the proportion of individuals of hispanic origin for samples of this size? 0.139 0.00067 0.886 0.0089 (b) use a normal approximation to find the probability that such a sample will contain 12% or fewer individuals of hispanic origin. the probability is roughly 4.9 . the probability is roughly 0.0164 . the probability is roughly 16 . the probability is roughly 0.049 .
Answers
a) The mean of the sampling distribution is 0.139, and the standard deviation is 0.012.
b) The probability of getting a sample proportion of 12% or less is approximately 0.0564.
c) The interval (L, U) is (0.115, 0.163) with a 95% confidence level. This means that we are 95% confident that the true population proportion falls within this interval
a) The mean of the sampling distribution of the sample proportion of individuals of Hispanic origin is equal to the population proportion, which is 13.9% or 0.139. The standard deviation of the sampling distribution can be calculated as
σ = sqrt [ p × (1 - p) / n ]
= sqrt [ 0.139 × (1 - 0.139) / 1500 ]
≈ 0.012
Therefore, the mean of the sampling distribution is 0.139, and the standard deviation is 0.012.
b) To find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin, we need to calculate the z-score for this value and use the standard normal distribution table. The z-score is
z = (0.12 - 0.139) / 0.012
≈ -1.583
Looking up this value in the standard normal distribution table, we find that the probability of getting a sample proportion of 12% or less is approximately 0.0564.
c) To find the interval (L, U) such that 95% of the sample proportions fall in the interval, we need to find the z-scores that correspond to the upper and lower 2.5% tails of the standard normal distribution. These z-scores are approximately ±1.96.
The margin of error for a 95% confidence interval can be calculated as
ME = z × σ
= 1.96 × 0.012
≈ 0.024
The lower and upper bounds of the interval can be found by subtracting and adding the margin of error to the population proportion
L = 0.139 - 0.024 = 0.115
U = 0.139 + 0.024 = 0.163
Therefore, the interval (L, U) is (0.115, 0.163) with a 95% confidence level.
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The given question is incomplete, the complete question is:
The 2010 census found that 13.9% of adults in the US identified themselves as of Hispanic origin. An opinion poll plans to interview 1500 adults at random, e.g., the sample size is 1500.
a) What are the mean and standard deviation of the sampling distribution of the sample proportion of individuals of Hispanic origin?
b) Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin.
c). What is the interval (L, U), such that the probability is only 2.5% of the sample proportions are greater than U; and the probability is only 2.5% of the sample proportions are lower than L? e.g., 95% of the sample
Subtract 7x^2 - x - 1 from x^2 + 3x + 3
Answers
The answer expression after subtraction of the expressions given is 6x²-4x-4
What is expression?The definition of an expression in maths, a statement composed of terms and operations.
Given are two expressions, 7x²-2x-1 and x²+3x+3
On subtracting, the expressions, we get,
(7x²-x-1)-(x²+3x+3)
= 7x²-x-1-x²-3x-3
= 6x²-4x-4
Hence, The answer expression after subtraction of the expressions given is 6x²-4x-4
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Rewrite the expression in a simpler way: (only one sign between integers and no parentheses).
28 + (- 8)
Answers
Answer: 28 - 8
Step-by-step explanation:
Adding a negative number is the same as subtracting its absolute value (:
pleasee help me fast
Answers
hope it will helpful to you please reply me it is correct or not
Which side is opposite 0
Answers
The value of opposite side of angle θ would be,
⇒ EF
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that,
A right triangle EFD is shown in figure.
And, At angle E, right angle is shown.
We know that;
The Opposite side of a angle is called perpendicular side.
Hence, The value of opposite side of angle θ would be,
⇒ EF
Thus, Option A is true.
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WHOEVER ANSWERS FIRST GETS BRAINLIEST PLSSSSS HELP MEH
Cami drank 7¼ liters of water Monday, 5½ liters of water on
Tuesday, 9¾ liters of water on Wednesday, and 6¼ of water on
Thursday. How much water did Cami drink during that four day span?
Answers
Answer:
29
Step-by-step explanation:
7 1/4 + 9 3/4 = 17
6 1/4 + 5 1/2 = 12
17 + 12 = 29
Answer:
She drank 28,75 liters.
A company made 700000 profit last year. It says this was 12percent more than the year before. What was the profit made the year before
Answers
Answer:
784000
Step-by-step explanation:
Given data
Profit = 700000
Let us begin by finding what 12% of 700000 is
=12/100* 700000
=0.12* 700000
=84000
Hence the profit made last years was
=84000+700000
=784000
In the figure, AD is perpendicular to BD, AC is perpendicular to BC, and AD ≅ BC.
Which of the following congruences is NOT necessarily true?
∠DAB ≅ ∠CBA
AE ≅ BE
AC ≅ BD
AD ≅ AE
∠EAB ≅ ∠EBA
Answers
Answer:
D) AD ≅ AEStep-by-step explanation:
According to given details the triangles ADB and BCE are congruent as per HL congruence
Lets verify the choices
∠DAB ≅ ∠CBA,
this is true as corresponding angles of congruent trianglesAE ≅ BE,
this is true as AEB is isoscelesAC ≅ BD,
this is true as corresponding sides of congruent trianglesAD ≅ AE,
this is NOT true as AE > AD as hypotenuse of right triangle is greater than legs∠EAB ≅ ∠EBA,
this is true as AEB is isoscelesAnswer:
D) AD ≅ AE
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)
I NEED HELP FAST!!!!!!!!!!
Answers
Answer:
But what's your question dude??
You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 18 feet wide by 24 feet lorig You need to stake and rope off where the concrete will be poured. If the new igarage is going have a width of 24 feet, how much rope are you going to need?-60 ft-120 ft-112 ft -56 ft
Answers
By definition, if two figures are similar, then their corresponding angles have the same measure and the length of their corresponding sides are in the same ratio.
In this case, you know that the new garage and the current garage are similar. Then, using the information given in the exercise you can set up the following proportion (Where "l" is the length in feet of the new garage):
\(\frac{24}{18}=\frac{l}{24}\)Solving for "l", you get:
\(\begin{gathered} (24)(\frac{24}{18})=l \\ \\ \frac{576}{18}=l \\ \\ l=32 \end{gathered}\)Since you need to stake and rope off where the concrete will be poured, you need to find the perimeter of the rectangle, in order to calculate the amount of rope (in feet) you are going to need.
Knowing the length and the width of the new garage, you get that its perimeter is:
\(\begin{gathered} P=2(32ft)+2(24ft) \\ P=64ft+48ft \\ P=112ft \end{gathered}\)The answer is: Third option.
Which of the following statements is not
true about the linear equation, y + 3 = -2(x-7)?
O The line has a slope of -2
O The linear equation can also be written as y=-2x +11
O The line contains the point (7,-3)
O The line contains the point (-7, 3)
Answers
Answer: Option 4
Step-by-step explanation:
This is true because the coefficient of x is -2.\(y+3=-2x+14 \implies y=-2x+11\), so this is true.Substituting \(x=-7\), \(y=(-2)(7)+11 =-3\), so this is true.Substituting \(x=7\), \(y=-2(-7)+11=3\). so this is false.help??????????????????
Answers
Answer:
it might be b i did it and i got that one sec brainly i did this so dont take it down i did math ok i think it is b
Step-by-step explanation:
Please I NEED HELP ASAP FOR 10 POINTS PLEASE ASPA HELP MEE QUESTION #8
Answers
Answer:
For the top row, 3 and 4, respectively
For the bottom row, 60 and 150, respectively
Step-by-step explanation:
w increases by 1 every time and d increases by 30
Answer:
for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks and for 5 weeks its $150.
Step-by-step explanation:
She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.
Graph each inequality.
7. yz|x+2
Answers
The graph of the inequality is added as an attachment
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
yz|x+2
Express properly
So, we have the following representation
y < x + 2
The above expression is an inequality that implies that
The value of y does not exceed 2 added to x
Next, we plot the graph
See attachment for the graph of the inequality
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2. Multiply each coordinate by 3 in (4, 9).
Answers
We just multiply each part of the coordinate
\(\begin{gathered} 3\cdot(4,9)=(3\cdot4,3\cdot9) \\ =(12,27) \end{gathered}\)Answer: (12, 27)
Two families visited an amusement park. the first family bought 2 hot dogs and 3 bottles of waters, which totaled $18. the second family bought 4 hot dogs and 2 bottles of waters, which totaled $28. how much did one hot dog cost? a. $2 b. $4c. $5 d. $6
Answers
Answer:
d. $6
Step-by-step explanation:
In the summer, paul earns twice as much each week painting rooms than he does cutting grass. his total weekly wages are $150 more than that of his younger sister, megan, who baby-sit. she earns one quarter as much as paul does painting rooms. how much does paul earn for painting room?
Answers
Let's assign variables to the unknowns to help solve the problem. Let's denote:
Paul's earnings for painting rooms as P
Paul's earnings for cutting grass as G
Megan's earnings for babysitting as M
Given information:
1. Paul earns twice as much each week painting rooms than cutting grass:
P = 2G
2. Paul's total weekly wages are $150 more than Megan's earnings:
P + G = M + $150
3. Megan earns one quarter as much as Paul does painting rooms:
M = (1/4)P
Now we can solve the system of equations to find the value of P (Paul's earnings for painting rooms).
Substituting equation 2 and equation 3 into equation 1:
2G + G = (1/4)P + $150
3G = (1/4)P + $150
Substituting equation 2 into equation 3:
M = (1/4)(2G)
M = (1/2)G
Substituting the value of M in terms of G into equation 1:
3G = 4M + $150
Substituting the value of M in terms of G into equation 3:
(1/2)G = (1/4)P
Simplifying the equations:
3G = 4M + $150 (Equation A)
(1/2)G = (1/4)P (Equation B)
Now, we can substitute the value of M in terms of G into equation A:
3G = 4[(1/2)G] + $150
3G = 2G + $150
Simplifying equation A:
G = $150
Substituting the value of G back into equation B:
(1/2)($150) = (1/4)P
$75 = (1/4)P
Multiplying both sides of the equation by 4 to solve for P:
4($75) = P
$300 = P
Therefore, Paul earns $300 for painting rooms.
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Expand & simplify 2 ( g + 5 ) − 2 ( g + 3 )
Answers
4
Step-by-step explanation:
2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )
= 2g + 10 - 2g - 6
= 2g -2g + 10 - 6
= 0 + 4
= 4
when 110 is added to a certain number and the sum is divided by 3, the result is 4 times the original number.What is the original number.
Answers
Answer:
Step-by-step explanation:
Let X be the original number.
The problem can be written as the following equation:
(X + 110) / 3 = 4X
Multiplying both sides by 3 gives:
X + 110 = 12X
Subtracting X from both sides gives:
110 = 11X
Dividing both sides by 11 gives:
X = 10
Therefore, the original number is X = 10.
Answer:
(x + 110)/3 = 4x (multiple both side by 3)
x + 110 = 12x
110 = 11x
x = 10
CHECKING(x + 110)/3 = 4x
(10 + 110)/3 = 4(10)
120/3 = 40
40/40
Therefore the original number is 10.Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-.Question 5 20 marks Throughout this question, take care to explain your reasoning carefully. You should round your answers, where necessary, to two significant figures. Finn is looking into the position and range of 4G mobile towers in his local area. Finn learns that the range of the 4G mobile towers is 50 km, where there are no obstructions. (a) Calculate what area is within the range of a 4G mobile tower where there are no obstructions. (b) Finn looks at a map of 4G mobile towers in his area. There is one at Hollingworth Hill and another at Cleggswood Hill. The top of these towers have heights of 248 m and 264 m respectively. Let point A be the top of the tower at Hollingworth Hill, point B be the point vertically beneath Cleggswood tower and on a level with the point A and let point C be the top of the tower at Cleggswood Hill. A measurement of 4 cm on the map represents 1 km on the ground. (i) The horizontal distance between the two locations on the map is 3.5 cm. What is the actual horizontal distance between the masts (the length AB)? (ii) What is the reduction scale factor? Give your answer in standard form.
Answers
(a) The area within the range of a 4G mobile tower, with no obstructions, is approximately 7,853.98 km². (b) (i) The actual horizontal distance between the masts (AB) is around 0.875 km. (ii) The reduction scale factor is 2.5 x 10⁻¹ km/cm.
(a) To calculate the area within the range of a 4G mobile tower, we need to find the area of a circle with a radius of 50 km. The formula for the area of a circle is A = πr², where r is the radius.
Using the given radius of 50 km, the area within the range of a 4G mobile tower is
A = π(50 km)²
A ≈ 7,853.98 km² (rounded to two significant figures)
(b) (i) To find the actual horizontal distance between the masts (length AB), we need to scale the horizontal distance on the map using the given measurement scale. Since 4 cm on the map represents 1 km on the ground, we can set up a proportion:
4 cm / 1 km = 3.5 cm / x km
Cross-multiplying and solving for x, we get:
x km = (3.5 cm * 1 km) / 4 cm
x ≈ 0.875 km (rounded to two significant figures)
Therefore, the actual horizontal distance between the masts (length AB) is approximately 0.875 km.
The reduction scale factor represents the ratio of the distance on the map to the actual distance on the ground. In this case, since 4 cm on the map represents 1 km on the ground, the reduction scale factor can be calculated as
1 km / 4 cm = 0.25 km/cm = 2.5 x 10⁻¹ km/cm (in standard form)
Hence, the reduction scale factor is 2.5 x 10⁻¹ km/cm.
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stem and leaf plot lol
Answers
A stem and leaf plot is a graphical representation of data that allows us to see how many data points fall into certain ranges. It is similar to a histogram, but instead of bars, it uses numbers to display the data.
In a stem and leaf plot, the numbers are separated into two parts: the stem, which includes all the digits except for the last one, and the leaf, which is the last digit. For example, if we have the numbers 23, 25, 26, 27, and 29, the stems would be 2 and 2, 2 and 6, and 2 and 7, and the leaves would be 3, 5, 6, 7, and 9.
The stem and leaf plot is useful because it allows us to see the distribution of the data and identify outliers or clusters of data points. It is also easy to read and interpret, making it a popular tool for data analysis. Overall, the stem and leaf plot is an effective way to display and analyze numerical data.
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3x - 2 > 4 - 3x
PLEASE HELP ME. I need to get my grade up
Answers
The solution to the given linear inequality is x > 1
Solving Linear inequalitiesFrom the question, we are to solve the given linear inequality.
The given linear inequality is
3x - 2 > 4 - 3x
Solving the inequality
3x - 2 > 4 - 3x
Add 3x to both sides
3x +3x - 2 > 4 - 3x + 3x
6x - 2 > 4
Add 2 to both sides
6x - 2 + 2 > 4 + 2
6x > 6
Divide both sides by 6
6x/6 > 6/6
x > 1
Hence, the solution is x > 1
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