Question

Solve the absolute value inequality: |2x - 3| < 7

Answer 1

\[|2x-3| < 7 \Rightarrow |x - \frac{3}{2}| < \frac{7}{2}\]
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