Graphing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

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What does it mean for a point to be a solution to a linear inequality?

Back

A point is a solution to a linear inequality if it satisfies the inequality when the coordinates of the point are substituted into the inequality.

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How do you determine if (0,0) is a solution to a linear inequality?

Back

Substitute (0,0) into the inequality. If the resulting statement is true, then (0,0) is a solution.

Front

What is the significance of the inequality symbol in graphing?

Back

The inequality symbol determines whether the line is solid or dotted and which side of the line is shaded.

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Back

You shade above the line because the inequality symbol is >.

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Back

A solid line is drawn because the inequality includes the ≤ symbol.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dotted line indicates that points on the line are not included (< or >).

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Back

Front

What does the term 'feasible region' refer to in linear inequalities?

Back

The feasible region is the area on the graph that satisfies all the inequalities in a system.

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Back

You shade above the line because the inequality includes the ≥ symbol.