69.4k views
5 votes
Select the inequality represented by the graph

Select the inequality represented by the graph-example-1
User Qirohchan
by
5.5k points

1 Answer

3 votes

Answer:

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

User Woodrow Douglass
by
4.9k points