Question

Solve |x + 7| < 8.

A. {x| -15 < x < 1}
B. {x| 1 < x < 15}
C. {x| -8 < x < 8}

Answer 1

you have to solve it in two steps because there is absolute value in this inequality.

x + 7 < 8 and x + 7 < -8

Answer 2

x + 7 < 8
x < 8 -7
x < 1


x + 7 < -8
x < -8 -7
x < -15

so yes, in this equation A is the right answer.

{x: -15 < x < 1}