Quadratic inequalities (AQA GCSE Further Maths): Flashcards

$x^2$ terms & inequality symbols ($<$, $>$, $≤$, $≥$)

Ranges of values, not specific solutions

Endpoints NOT included ($<$ or $>$)

Endpoints ARE included ($≤$ or $≥$)

Opens upwards (U-shape)

Opens downwards (∩-shape)

Points where expression crosses x-axis (equals zero)

Reverse (flip) the inequality sign

Between the roots

Outside the roots

Multiply by $-1$ and flip inequality sign

Between critical values ($p < x < q$)