# How do you solve #(2x-1)/(3x-2) <=1#?

##### 2 Answers

May 10, 2015

Solve

Multiply both sides by

Subtract

Add

Multiply by

May 10, 2015

**Case 1:**

If

which implies

then

( since multiplying by a negative reverses the inequality)

and

Combining the Case 1 restrictions on

gives

**Case2**

If

which implies

then

Combining the Case 2 restrictions on

gives

**Solution**