Question

How do i solve this inequality?

Answer 1

Answer: -9<x<4

Explanation:

/ 2x +5/ < 13 , the first thing is to remove the absolute symbol , which will be

-13 < 2x + 5 < 13

solving the first part:

-13 < 2x + 5

-13 - 5 < 2x

-18 < 2x

-9 < x

solving the second part

2x + 5 < 13

2x < 13 - 5

2x < 8

x < 4

combining the two results

-9<x<4