Question

Select the inequality represented by the graph

Answer 1

4>|x+1|+2

Explanation:

Solve the inequality for x

4>|x+1|+2

2>|x+1|

Solve the inequality for x

Since the absolute value is always positive because it is the distance, we get two inequalities where one is negative and less than x because if x goes past this negative value, the inequality becomes untrue.

This equation gives us the inequalities:

x+1<2

x<1

x+1>-2

x>-3

-3<x<1