Linear Inequalities

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What is a linear inequality?

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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 the symbol '>' mean in a linear inequality?

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

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

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

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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 is the solution set of a linear inequality?

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The solution set of a linear inequality is the set of all ordered pairs (x, y) that make the inequality true.

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How do you determine if a point is a solution to a linear inequality?

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To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

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What is the difference between a linear equation and a linear inequality?

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A linear equation states that two expressions are equal, while a linear inequality states that one expression is greater than, less than, or equal to another.

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

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