Question

Solve and graph the absolute value inequality: |4x + 1| ≤ 5.

Answer 1

You would have to do it two times, one being negative and one being positive.
4x + 1 < 5
     -1     -1
4x < 4
x < 1

4x - 1 < 5
    +1    +1
4x < 6
x < 1.5

So the answer would be x<1 and x<1.5

I hope this helps!

Answer 2

Here is how you would graph it --