Graphing Linear Inequalities

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What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (like <, >, ≤, or ≥). It represents a region of the coordinate plane.

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What does the symbol '>' mean in an inequality?

Back

Front

What does the symbol '<' mean in an inequality?

Back

Front

What does the symbol '≥' mean in an inequality?

Back

Front

What does the symbol '≤' mean in an inequality?

Back

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). Then shade the region that satisfies the inequality.

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What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It can be found by setting x = 0 in the equation.

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Back

Front

What does it mean if a line is dashed in a graph of an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set. This is used for inequalities with < or >.

Front

What does it mean if a line is solid in a graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set. This is used for inequalities with ≤ or ≥.