For the 1st solution:
-6 < 4x + 2
4x + 2 > -6
4x + 2 - 2 > -6 - 2
4x > -8
4x/4 > -8/4
x > -2
For the 2nd solution:
4x + 2 < 6
4x + 2 - 2 < 6 - 2
4x < 4
4x/4 < 4/4
x < 1
Therefore, the answer is CHOICE B: x > -2 and x < 1 or -2 < x < 1
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