# How do you solve #3abs(4x-5)>=12#?

##### 1 Answer

May 23, 2015

Given

divide both sides by

Expanding the modulus, this means

Add

Divide both sides of both of these by

In general, you can perform any of the following operations on an inequality and preserve its truth...

(1) Add or subtract the same value on both sides.

(2) Multiply or divide by the same positive value on both sides.

(3) Multiply or divide by the same negative value on both sides and reverse the inequality (