Asked by Stranger

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)
Answered by Stranger
wrong
Answered by Stranger
Your sure?
Answered by Stranger
YOU SUREEE???
Answered by Stranger
it says it wrong
Answered by Stranger
it says its still wrong
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.