Solve 4/7x−2/7>5/7

Answer 1

To solve the inequality:

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

First, let's add 2/7 to both sides to isolate the x-term:

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

This simplifies to:

4/7x > 7/7

Now, multiply both sides by the reciprocal of 4/7, which is 7/4:

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

This simplifies to:

28/28x > 49/28

Simplifying further:

x > 49/28

Therefore, the solution to the inequality is x > 49/28.

Answer 2

nope

Answer 3

Apologies for the mistake. Let's solve it correctly this time.

To solve the inequality:

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

Let's start by adding 2/7 to both sides:

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

Simplifying:

4/7x > 7/7

Now, let's multiply both sides by the reciprocal of 4/7, which is 7/4 (flip and multiply):

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

Simplifying:

28/28x > 49/28

Dividing both sides by 28/28:

(28/28x) / (28/28) > (49/28) / (28/28)

Simplifying:

x > 49/28

Therefore, the solution to the inequality is x > 49/28.