Question

What is the solution of the absolute value inequality
|6x + 8| > -4? @ganeshie8

Answer 1

I found A. 4/3, -4

Answer 2

Can you verify if that is correct? I tried plugging it in but I didn't get that answer by solving it.

Answer 3

trick question - no algebra is needed for this

Answer 4

the absolute value of ANYTHING is always greater than or equal to \(0\)

Answer 5

| ANYTHING | >= 0

Answer 6

Here are the answers:

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

Answer 7

if something is >=0,
doesn't that mean it is greater than any number ?

Answer 8

All Real Numbers
?

Answer 9

yes !

Answer 10

the given inequality holds for all real numbers of "x"

Answer 11

But can't real numbers include negatives?

Answer 12

x could be any real number, the output of absolute value function is always greater than -4

Answer 13

yes, input can be negative, but the output is never negative