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2 < |x + 2| < 6

what is the solution to this inequality?

1 Answer

3 votes

Answer:

0 < x < 4 or -8 < x < -4

Explanation:

2 < |x + 2| < 6

2 < x + 2 < 6 or 2 < -(x + 2) < 6

0 < x < 4 or -2 > x + 2 > -6

0 < x < 4 or -4 > x > -8

0 < x < 4 or -8 < x < -4

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