fuzzycactus2004
fuzzycactus2004 fuzzycactus2004
  • 17-10-2019
  • Mathematics
contestada

HELP PLS

solve the inequality |4x + 2| < 26

A -7 > x > 6

B. -32 < x < 20

C. -7 < x < 6

D. -6 < x < 6​

Respuesta :

zlskfrum zlskfrum
  • 30-10-2019

Answer:

Step-by-step 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.

Answer Link
Asdfjkadfjkakjf Asdfjkadfjkakjf
  • 31-10-2019

Answer:

C

Step-by-step 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 Link

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