Quadratic inequality

Definition

An inequality containing a squared variable, such as x² − 4 < 0.

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Specification A22 · Paper 1, Paper 2, Paper 3

A quadratic inequality asks where that expression is positive or negative.
Revise: Quadratic Inequalities

Specification A22 · Paper 1, Paper 2, Paper 3

An inequality involving a squared variable, such as $x^{2} - x - 2 >$ , whose solution can be a range of values.

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x^{2} - x - 2 > 0

A quadratic inequality asks where that expression is positive or negative, so its answer is usually a range of values.

Specification 6.04a · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)

An inequality in which the highest power of the variable is 2, such as $x^2-2x<3$ .
A quadratic inequality asks where a quadratic expression is positive, negative or possibly zero.
Revise: Quadratic Inequalities and Set Notation