A-Level Maths Edexcel 9MA0

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#10 Represent inequalities graphically

Inequalities can be represented graphically by drawing the graph, and shading in the appropriate region.

The four possibilities are: [ul]liif the inequality is (>), draw the graph with a dotted line and shade in the region babove/b the graph;[/li]liif the inequality is (<), draw the graph with a dotted line and shade in the region bbelow/b the graph;[/li]liif the inequality is (≥), draw the graph with a solid line and shade in the region babove/b the graph;[/li]liif the inequality is (≤), draw the graph with a solid line and shade in the region bbelow/b the graph.[/li]/ul

The solutions to the inequality (f(x) < g(x)) are the values of (x) for which the graph (y=f(x)) is bbelow/b the graph (y=g(x)).

The solutions to the inequality (f(x) > g(x)) are the values of (x) for which the graph (y=f(x)) is babove/b the graph (y=g(x)).