Solving/interpreting linear inequalities in one variable

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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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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 using inverse operations, similar to solving an equation.

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What does the symbol '≤' mean?

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The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

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What does the symbol '≥' mean?

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The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

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How do you graph a linear inequality?

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

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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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If the maximum height of a building is 18 feet, how would you express this as an inequality?

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