Question

Which of the following is the solution to 9|x +4|>54 ?

O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2

Answer 1

x>2 or x<-10

Explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

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

Subtract 4 from each side

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

x>2 or x<-10