Solve each inequality, showing your working clearly. Use a sign table or number line where appropriate.

$6+x-x^2>0$.
$5+4x-x^2\ge0$.
$4-3x-2x^2\le0$.

Question

Solve each inequality, showing your working clearly. Use a sign table or number line where appropriate. $6+x-x^2>0$. $5+4x-x^2\ge0$. $4-3x-2x^2\le0$.

Accepted Answer

(a) $-2<x<3$ (b) $-1\le x\le5$ (c) $x\le\frac{-3-\sqrt{41}}4$ or $x\ge\frac{-3+\sqrt{41}}4$

Quadratic Functions, Equations and Inequalities