- #1

- 19

- 0

## Homework Statement

Solve the Inequality:

(3x-7)/(x+2)<1

## Homework Equations

## The Attempt at a Solution

Cross Multiply: x+2>3x-7

Simplify: 9>2x

Simplify More: 9/2>x

My Answer: (-∞, 9/2)

I put this as my answer but the answer is really (-2, 9/2)

Can someone explain to me why this is? I know you can't divide by 0 and this has something to do with the answer but that is as far as I got.

Thanks