Browse · MATH

jmc

algebra intermediate

Problem

Solve the inequality

- 4 x^{2} + 7 x + 2 < 0.

Solution

The inequality factors as

- (4 x + 1) (x - 2) < 0.

Therefore, the solution is

x \in (- \infty, - \frac{1}{4}) \cup (2, \infty) .

Final answer

\left( -\infty, -\frac{1}{4} \right) \cup (2,\infty)