Quadratic Inequalities (Grade 11 NSC Matric Mathematics): Flashcards

Inequality involving a quadratic expression

Equations: specific x-values; Inequalities: ranges/intervals

x-values where the expression equals zero (the roots)

Systematically find where expression is positive or negative

Opens upward (U-shape)

Opens downward (∩-shape)

$\geq 0$ always; $= 0$ only when expression $= 0$

When multiplying or dividing by a negative number

Values making denominators zero cannot be in solution

Included: $\leq$, $\geq$; Excluded: $<$, $>$