marissaraymond
marissaraymond marissaraymond
  • 17-01-2019
  • Mathematics
contestada

Solve the inequality.

|4x + 2| < 26


–7 > x > 6


–32 < x < 20


–6 < x < 6


–7 < x < 6


Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 17-01-2019

Answer:

-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

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