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

Hint:
|6x + 8| > - 4 means that some distance, 6x + 8 is greater than -4 . And the question is, is it possible for that distance to be greater than -4? If so, what values of x would satisfy the condition?

Answer 2

I dont know that's why i posted it on here, if i knew i wouldn't put it up.

Answer 3

2nd Hint: Input any x value positive or negative and evaluate it.

Let's try x = -100

|6(-100) + 8| > - 4
|-600 + 8| > - 4
|-592| > - 4
592 > -4
True

Try other values for x. Let me know if you ever find an x value that makes the statement |6x + 8| > - 4 false.

Answer 4

3rd Hint: No algebraic steps are needed for this. Only the understanding of the concepts :absolute value and 'greater than or less than'.