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5 votes
Solve the inequality.

|4x + 2| < 26


–7 > x > 6


–32 < x < 20


–6 < x < 6


–7 < x < 6

User Tamilsweet
by
7.7k points

1 Answer

5 votes

Answer:

-7< x < 6

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

User Aditya Rewari
by
7.8k points

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