Graphing Linear Inequality

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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 dashed line (for < or >) or a solid line (for ≤ or ≥). Then, shade the region that satisfies the inequality.

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What does the symbol '>' mean in a linear inequality?

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'>' means that the values of the variable are greater than the value on the other side of the inequality.

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What does the symbol '<' mean in a linear inequality?

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'<'' means that the values of the variable are less than the value on the other side of the inequality.

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What does the symbol '≥' mean in a linear inequality?

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'≥' means that the values of the variable are greater than or equal to the value on the other side of the inequality.

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What does the symbol '≤' mean in a linear inequality?

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'≤' means that the values of the variable are less than or equal to the value on the other side of the inequality.

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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 holds true for that point, shade the side of the line that includes the test point.

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

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What is the significance of the slope in a linear inequality?

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The slope indicates the steepness of the line and the direction it goes (upward or downward) as you move from left to right.

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What is the y-intercept in a linear inequality?

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