Solve 4/7x−2/7>5/7. Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.%0D%0A%0D%0ANote: You will find the option to add a >%0D%0A>%0D%0A, <%0D%0A<%0D%0A, ≥%0D%0A≥%0D%0A, or ≤%0D%0A≤%0D%0A symbol in the Comparison (<)%0D%0A(%0D%0A<%0D%0A)%0D%0A keyboard.%0D%0A%0D%0A(1 point)

Answer 1

To solve the inequality, we need to isolate the variable x.

Starting with the given inequality:

4/7x - 2/7 > 5/7

We can add 2/7 to both sides to get rid of the -2/7 on the left side:

4/7x > 5/7 + 2/7

Simplifying the right side:

4/7x > 7/7

Now we can simplify further by canceling out the common factor of 7:

4x > 1

To isolate x, we divide both sides by 4:

(4x)/4 > 1/4

Simplifying:

x > 1/4

Therefore, the solution to the inequality is x > 1/4.

Answer 2

wrong

Answer 3

Apologies for the mistake.

To solve the inequality, we can start by adding 2/7 to both sides:

4/7x - 2/7 + 2/7 > 5/7 + 2/7

This simplifies to:

4/7x > 7/7

Now, we can simplify the equation by canceling out the common factor of 7:

4x > 1

To isolate x, we divide both sides by 4:

(4x)/4 > 1/4

This simplifies to:

x > 1/4

Therefore, the solution to the inequality is x > 1/4.

Answer 4

Your sure?

Answer 5

Apologies for the confusion. Let's go through the steps again to ensure the correct solution.

Starting with the given inequality:

4/7x - 2/7 > 5/7

We can add 2/7 to both sides to get rid of the -2/7 on the left side:

4/7x > 5/7 + 2/7

Simplifying the right side:

4/7x > 7/7

Now, we can simplify further by canceling out the common factor of 7:

4x > 7

To isolate x, we divide both sides by 4:

(4x)/4 > 7/4

Simplifying:

x > 7/4

Therefore, the solution to the inequality is x > 7/4.

Answer 6

YOU SUREEE???

Answer 7

Apologies for the confusion earlier. Let me go through the steps again to ensure we have the correct solution.

Starting with the given inequality:

4/7x - 2/7 > 5/7

To eliminate the fraction, we can multiply both sides by the reciprocal of 4/7, which is 7/4:

(7/4) * (4/7x - 2/7) > (7/4) * (5/7)

Simplifying, we get:

x - 1/2 > 5/4

Next, we can add 1/2 to both sides to isolate x:

x > 5/4 + 1/2

Simplifying the right side:

x > 5/4 + 2/4

x > 7/4

Therefore, the inequality solution is x > 7/4.

Answer 8

it says it wrong

Answer 9

Apologies for the previous incorrect responses. Let's solve the inequality correctly this time:

Given inequality:

4/7x - 2/7 > 5/7

First, we can add 2/7 to both sides of the inequality to isolate the term with x:

4/7x - 2/7 + 2/7 > 5/7 + 2/7

Simplifying, we have:

4/7x > 7/7

Now, we can simplify further by cancelling out the common factor of 7:

4x > 1

Next, we divide both sides by 4 to solve for x:

(4x)/4 > 1/4

Simplifying further, we get:

x > 1/4

Therefore, the correct solution to the inequality is x > 1/4.

Answer 10

it says its still wrong

Answer 11

Apologies for the previous incorrect responses. Let's solve the inequality correctly this time:

Given inequality:

4/7x - 2/7 > 5/7

To solve the inequality, we can add 2/7 to both sides to isolate the term with x:

4/7x > 5/7 + 2/7

Simplifying, we have:

4/7x > 7/7

Now, we can simplify further by canceling out the common factor of 7:

4/7x > 1

To isolate x, we can multiply both sides by the reciprocal of 4/7, which is 7/4 (flipping the fraction and multiplying):

(7/4)(4/7x) > (7/4)(1)

Simplifying, we get:

x > 7/4

Therefore, the correct solution to the inequality is x > 7/4.