[ $\underline{\text { Quadratic Inequalities and Systems of Inequalities }}$

On the coordinate plane, plot the set of points that satisfy the inequality $x^{2} y-y \geq 0$.

#
$x^{2} y-y \geq 0 \Leftrightarrow y\left(x^{2}-1\right) \geq 0 \Leftrightarrow y \geq 0,|x| \geq 1$ or $y \leq 0,|x| \leq 1$.

## Answer

See fig.

![](https://cdn.mathpix.com/cropped/2024_05_06_79aa1f75de69bad6c7b2g-21.jpg?height=394&width=583&top_left_y=1758&top_left_x=746)

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