Question

What is the solution of |2x+7|>27?

A) x<-10 or x>10
B) x<-17 or x>10
C) x<-34 or x>20
D) x>-17 or x<10

Answer 1

|2x + 7| > 27

break down into two equations;

2x + 7 > 27         -(2x + 7) > 27

2x + 7 > 27          -2x - 7 > 27

2x > 27 - 7           -2x > 27 + 7

2x > 20                 -2x > 34

x > 10                     x < -17

hope that helps, God bless!