Question

Which of the following is the solution to |-2x-15|≤7

A. X≥-11
B. X≤4
C. -11≤x≤-4
D. X≥4

Answer 1

Explanation:

C. -11<x<-4

|-2x-15|<7 split into possible cases

- 2x - 15 < 7, - 2 x - 15 > 0

-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities

x>-11, x < -15/2

x< -4, x> -15/2 Find the intersections

[ -11, -15/2 ]

-15/2, -4] Find the union

[-11, -4 ] Simplify

-11<x<-4