# How do you solve the inequality # |x + 2| ≤ 3# ?

##### 1 Answer

Feb 8, 2016

#### Explanation:

We must divide the equation in two parts:

If

The module of a positive number is the same number, the equation gives:

If

The module of a negative number is its inverse , the equation gives:

Now we must multiply x by -1. This will change the comparision sign.

The solution will be the union of the two intervals: