Solve the inequality. |4x + 2| < 26 –7 > x > 6 –32 < x < 20 –6 < x < 6 –7 < x < 6

-7< x < 6

Step-by-step explanation:

|4x + 2| < 26

The absolute value has a positive and a negative.  Remember to flip the inequality when taking the negative

4x+2 < 26       and 4x+2 > -26

Subtract 2 from each side

4x+2-2 < 26 -2   and 4x+2 > -26-2

4x < 24              and 4x > -28

Divide by 4

4x/4 < 24                  4x/4 >-28/4

x <6          and                    x> -7

-7< x < 6

answer: group b.

step-by-step explanation: