Question

2 < |x + 2| < 6

what is the solution to this inequality?

Answer 1

0 < x < 4 or -8 < x < -4

Explanation:

2 < |x + 2| < 6

2 < x + 2 < 6 or 2 < -(x + 2) < 6

0 < x < 4 or -2 > x + 2 > -6

0 < x < 4 or -4 > x > -8

0 < x < 4 or -8 < x < -4