Solving Inequalities using Multiplication and Division

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

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What does the symbol ≤ mean?

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The symbol ≤ means 'less than or equal to'.

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What does the symbol ≥ mean?

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The symbol ≥ means 'greater than or equal to'.

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How do you solve an inequality involving multiplication?

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To solve an inequality involving multiplication, divide both sides by the same positive number, and the inequality sign remains the same. If you divide by a negative number, reverse the inequality sign.

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What happens to the inequality sign when you multiply or divide by a negative number?

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The inequality sign reverses when you multiply or divide both sides by a negative number.

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What does it mean to isolate the variable in an inequality?

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Isolating the variable means to get the variable on one side of the inequality by performing inverse operations.