Graphing Inequalities

Plot inequalities and see shaded solution regions. Understand boundary lines and feasible areas.

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About Graphing Inequalities

An inequality like y > x + 2 defines a region, not just a line. The boundary line is y = x + 2 (dashed for strict inequality >, solid for ≥). All points above the line satisfy y > x + 2 — this region is shaded.

For a system of inequalities, the feasible region is where all inequalities are satisfied simultaneously — the overlap of all shaded regions. Corner points of this region are used in linear programming (optimization problems).

Graphing inequalities appears on SAT Math (systems of inequalities, feasible regions), CBSE Class 11 (Linear Inequalities chapter), andJEE Main (linear programming in some years).

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