CAIE IGCSE Additional Math 2.5 solve quadratic inequalities

Use this quadratic-inequalities page to rearrange to zero, find roots or factors and select intervals that satisfy the inequality.

Exam points

Rearrange a quadratic inequality to compare the expression with zero first.
Find critical values from factors or roots before testing intervals carefully.
Write the final solution using the correct inequality signs and interval direction.

[Maximum number: 3]

Solve the following inequalities.

$x^2-x-6 \geqslant 0$

(x-3)(x+2)
M1
x * 3, x * -2
A1
* can be any inequality sign or =.
$x \geqslant 3,\ x \leqslant -2$
A1
Do not allow "and" between inequalities.
Do not accept $-2 \geqslant x \geqslant 3$ .

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2.5. Solve quadratic inequalities question 1