# Solve the absolute value of inequalities and express in interval notation for #abs(3(x+2)-7x) <=6#?

##### 1 Answer

May 5, 2015

Simplify the expression within the absolute value then consider the two cases where that expression has a negative and a non-negative value.

**Case 1**

If

then

and

So in this case

**Case 2**

If

then

and

In this case

**Combining the cases**

Valid solutions are values of

either

or

which combines as