Question

What is the solution of |2x+5| <19?

Answer 1

-12 < x < 7

Explanation:

Hello!

There are two equations given for this absolute value inequality:

• 2x + 5 < 19
• -(2x + 5) < 19

We have to solve for x in both of the inequalities.

2x + 5 < 19

• 2x < 14
• x < 7

-(2x + 5) < 19

• -2x - 5 < 19
• -2x < 24
• x > 24/-2
• x > -12

The solution is -12 < x < 7.