Question

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

number line with closed dots on −1.5 and 1 with shading going in the opposite directions.

number line with open dots on −1.5 and 1 with shading in between.

number line with closed dots on −1 and 1 with shading in between.

number line with closed dots on −1.5 and 1 with shading in between.

Answer 1

| 4x + 1 | <= 5

-5 <= 4x + 1 <= 5 --- subtract 1
-5 - 1 <= 4x <= 5 - 1
-6 <= 4x <= 4 --- divide by 4
-6/4 <= x <= 4/4
-1.5 <= x <= 1

closed dots on -1.5 and 1, shading in between

Answer 2

thank u !!

Answer 3

anytime :)