Solve 4/7 X -2/7> 5/7, right the rational number in your answer as a mixed number make sure to write your inequality so that X comes first

Answer 1

To solve the inequality, we will isolate the variable X.

4/7X - 2/7 > 5/7

First, we need to get rid of the -2/7 on the left side of the inequality.
We can do this by adding 2/7 to both sides:

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

Simplifying:

4/7X > 7/7

Now, we have:

4/7X > 1

To isolate X, we can multiply both sides by the reciprocal (7/4) of 4/7:

(7/4)(4/7X) > (7/4)(1)

Simplifying:

X > 7/4

As a mixed number, the answer is 1 3/4.

Therefore, the solution to the inequality with X comes first is:

X > 1 3/4