# How do you solve #3abs(x+2)-2>7#?

##### 1 Answer

or

#### Explanation:

Given

Adding 2 to both sides maintains the inequality, so

Dividing both sides by a positive amount also maintains the inequality, so

There are two possibilities.

**Possibility 1:**

In this case

So

becomes

Adding 2 to both sides (which maintains the inequality)

Multiplying by

The two conditions for Possibility 1:

**Possibility 2:**

In this case

So

becomes

Subtracting 2 from both sides (inequality maintained)

The two conditions for Possibility 2:

**Combining**

Either Possibility 1 **or** Possibility 2

so