Question

Solve |x + 7| < 8.
A.{x| -15 < x < 1}
B.{x| 1 < x < 15}
C.{x| -8 < x < 8}

Answer 1

First, solve:
x+7 < 8
x < 1
Now, for the second part, make the LHS negative, i.e.,:
-(x+7) < 8
-x - 7 < 8
-x < 15
Now, multiply by minus one, when you do that, invert the inequality sign:
x > -15