Question

Solve the inequality.

│x + 7│ + 5 ≤ 2

Answer 1

help

Answer 2

In General |y|=a means (y=+a & y=-a)
Given
│x + 7│ + 5 ≤ 2
=> │x + 7│≤ 2-5
=> │x + 7│≤ -3
Now here
y=│x + 7| & a=-3 So we have
x + 7≤ -3 && x + 7≤ +3
x≤ -10 && x≤ -4

Draw this in number line & take common of both the regions

Answer 3

x lies in the range (-Infinity to -4]