Question

Solve the inequality.

|x + 5| > 12









A.

–17 < x < 7








B.

x < –17 or x > 7








C.

x > –17 or x < 7








D.

–7 < x < 7

Answer 1

|x + 5| > 12
The first thing to do is clear the absolute value bars by splitting the inequality into two. Then I'll solve the two linear inequalities.
x+5>12 OR x+5<-12
x>7 OR x<-17

This PAIR of inequalities is the solution;
the solution to | x +5 | > 12 consists of the two intervals x < –17 and x > 7.

Answer 2

marigirl,
is it x+5<-12 or -(x+5)<12?