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Concept

Quadratic Inequality

A quadratic inequality is an inequality that involves a quadratic expression. Quadratic inequalities for one variable usually lead to compound inequalities.

x^{2} - 9 \geq 0 ⇕ x \geq 3 and x \leq - 3

The solution set of a quadratic inequality of two variables is described using its boundary curve.

Solution set of the quadratic inequality x squared plus y squared is less than or equal to 9. The resulting region is all the points within a circle with center at the origin an radius 3.

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