Match ABCDE with the solution set below

Question

A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x| -11 < x < -7}
E. All Real Numbers

Solution set
ABCDE|x + 9| < 2
ABCDE|5x - 8| > 12
ABCDE|3k + 4| = 8
ABCDE|x - 6| = -10
ABCDE|6x + 8| > -4

Answer 1

It is easier to solve for the unknown and then look for the question.

Working backwards:
|x + 9| < 2
Solution set: -7<x<-11
check: |-7 + 9| =2
|-11 + 9| = -2

|5x - 8| > 12
x>4 or x<-4/5

|3k + 4| = 8
k=4/3 or k=-4

|x - 6| = -10
no solution, ∀ y ∈ ℝ: |y| ≥ 0

ABCDE|6x + 8| > -4
x∈ℝ

Can you take it from here?