Solution: Factor $ 2x^2 - 7x + 3 $. Find roots: $ x = \frac7 \pm \sqrt49 - 244 = \frac7 \pm 54 \Rightarrow x = 3 $ or $ x = \frac12 $. The quadratic opens upwards, so the inequality holds between the roots: $ \boxed\left( \frac12, 3 \right) $. - Veritas Home Health