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Solve the absolute value inequality: |2x - 3| < 7
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|dw:1342464024402:dw| \[|2x-3| < 7 \Rightarrow |x - \frac{3}{2}| < \frac{7}{2}\] This means that the distance of x from \(3/2\) is less than \(7/2\). Looking at the figure gives the answer. \(-2 < x < 5\) Now try to prove this mathematically
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