Answer: -1 < x < 1
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Work Shown:
-1 < 4x+3 < 7
-1-3 < 4x+3-3 < 7-3 .... subtracting 3 from all sides
-4 < 4x < 4
-4/4 < 4x/4 < 4/4 .... dividing all sides by 4
-1 < x < 1
Therefore x is any number between -1 and 1, excluding both endpoints.