Question

Solve the inequality: 4|x+5| -2 <10

Answer 1

4 |x + 5| - 2 < 10 4 |x + 5| - 2 < 10
4 |x + 5| < 12 4(x + 5) - 2 < 10
------------ ----- 4x + 20 - 2 < 10
4 4 4x + 18 < 10
|x + 5| < 3 4x < -8
-x - 5 < 3 ---- ------
-x < 8 4 4
---- --- X < -2
-1 -1
X > -8

-8 < x < -2