Question

Solve the inequality.

|x + 5| > 12

–7 < x < 7
–17 < x < 7
x > –17 or x < 7
x < –17 or x > 7

Answer 1

|x+5|>12 can rewritten as
x+5>12 for x>0
-x-5>12 for x<0
x+5>12
x>7
now second in equality
-x-5>12
-x>17
x<17
note that the sign changed due to the multiplication of negative no

Answer 2

x<-17
c is the answer