Graphing Linear Inequality

Front

What is a linear inequality?

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

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How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the region that satisfies the inequality.

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

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'>' means that the value on the left is greater than the value on the right.

Front

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

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'<' means that the value on the left is less than the value on the right.

Front

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

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'≥' means that the value on the left is greater than or equal to the value on the right.

Front

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

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'≤' means that the value on the left is less than or equal to the value on the right.

Front

How do you determine which side to shade when graphing a linear inequality?

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Choose a test point not on the line (commonly (0,0)). If the inequality is true for that point, shade the side of the line that includes the point; if false, shade the opposite side.

Front

What is the slope-intercept form of a linear equation?

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Front

How do you convert a linear inequality to slope-intercept form?

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Front

What is the significance of the y-intercept in a linear inequality?

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