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## Homework Statement

Identify the solution set of the inequality.

## Homework Equations

5x + 1 / x- 1 ≥ 7

## The Attempt at a Solution

I multiplied both sides by x - 1 which gave me 5x+1 ≥ 7x - 7

Then I combined like terms together which gave me 8 ≥ 2x

I divided both sides by 2 which gave me 4 ≥ x.

Now that's not the answer. The answer is 1 < x ≤ 4.

Why is that?