Linear Inequalities Basics

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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 inequalities?

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What does the symbol '<' mean in inequalities?

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What does the symbol '≥' mean in inequalities?

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What does the symbol '≤' mean in inequalities?

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How do you graph a linear inequality?

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1. Graph the corresponding linear equation as a dashed line (for < or >) or solid line (for ≤ or ≥). 2. Shade the region that satisfies the inequality.

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What does it mean to shade above a line in a graph?

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What does it mean to shade below a line in a graph?

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What is the solution set of an inequality?

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The solution set of an inequality is the set of all values that make the inequality true.

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How do you solve a linear inequality?

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To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, while remembering to reverse the inequality sign if multiplying or dividing by a negative number.