Question

HELP PLS

solve the inequality |4x + 2| < 26

A -7 > x > 6

B. -32 < x < 20

C. -7 < x < 6

D. -6 < x < 6​

Answer 1

C

Explanation:

|4x + 2| < 26

+-(4x+2) < 26

+-4x +-2 < 26

either 4x + 2 < 26 or -4x - 2 < 26

4x < 24 or -4x < 28

x < 6 or x > -7

-7 < x < 6

Answer 2

Explanation:

The inequality |4x + 2| < 26 can be rewritten into two inequalities as the | | function can mean multiply by 1 or multiply by -1.

|4x + 2| < 26

= (4x + 2) < 26 or -(4x + 2) < 26

= 4x < 26 - 2 or -4x <26 + 2

= 4x < 24 or -4x < 28

= x < 6 or x > -7

Combining the two:

|4x + 2| < 26

= -7 < x < 6

The answer is C.