solve 4/7x - 2/7 > 5/7 Write your answer in a mixed number.

Answer 1

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

First, we add 2/7 to both sides of the equation to get rid of the (-2/7):

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

Simplifying the right side of the equation:

4/7x > 7/7

Now, we have:

4/7x > 1

To isolate x, we need to multiply both sides of the equation by the reciprocal of 4/7, which is 7/4:

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

Simplifying the equation:

1x > 7/4

Therefore, x is greater than 7/4, which can also be expressed as a mixed number. Converting 7/4 into a mixed number:

7 ÷ 4 = 1 with a remainder of 3

So, x is greater than 1 and 3/4.