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Inequality Region Grapher

Choose a boundary curve y = f(x) and a relation (>, ≥, <, ≤). The calculator plots the boundary — dashed for strict inequalities, solid for inclusive — and shades the half-plane the inequality describes.

Inequality Region Grapher

Shade the region y > f(x), y < f(x), y ≥ f(x) or y ≤ f(x).

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Frequently asked questions

What does a dashed boundary mean?

It marks a strict inequality (> or <): the boundary points themselves are not part of the region. A solid boundary is used for ≥ and ≤, where they are.

How are the shaded points decided?

For y > f(x) every point above the curve is shaded; for y < f(x) every point below. Points on the boundary are included only for ≥ and ≤.

Can the inequality have terms in y?

This tool handles inequalities of the form y vs f(x). General two-variable inequalities like x² + y² ≤ 1 would need an implicit-curve solver, which is not yet supported.

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