Question

What is the solution set of the absolute value sentence
|6x + 8| > -4?
A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x|-11 < x < -7}
E. All Real Numbers

Answer 1

|6x + 8| > -4
6x+8>-4
6x>4
x>2
-6x-8>-4
-6x>4
6x<-4
x<-2/3
so, 2<x<-2/3

Answer 2

i think this is the right ans ,b'coz i get this !!!!!

Answer 3

All real numbers is the answer.
Why you ask?
Because\[|anything|\]can NEVER BE NEGATIVE (and therefor is ALWAYS greater than -4).
Therefor your statement is always true.
That is a result of the definition of "absolute value".