Question

How do you graph and solve `2 |x+4| + 8 <14`?

Answer 1

x > -7
x < -1

Explanation:

2Ix + 4I < 6
Ix + 4I < 3
Solve separately the inequality in 2 parts:
a. x + 4 < 3
x < 3 - 4 --> x < -1
b. -(x + 4) < 3
- x - 4 < 3 --> -x < 7 --> x > -7
Graph:

---------------- -7=================== -1 ---------0 -----------