Solving Inequalities Review

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, or ≥) to show that one expression is less than, greater than, or equal to another.

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What does it mean to solve an inequality?

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To solve an inequality means to find all values of the variable that make the inequality true.

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The first step is to distribute the -1/2 across the terms inside the parentheses.

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When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

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What does it mean if an inequality has 'no solution'?

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It means there are no values of the variable that can satisfy the inequality.

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The solution is 'All Real Numbers'.

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Back

The solution is 'No Solution'.

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What is the purpose of combining like terms in an inequality?

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Combining like terms simplifies the inequality, making it easier to solve.

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What is the difference between strict and non-strict inequalities?

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Strict inequalities use < or >, while non-strict inequalities use ≤ or ≥, indicating whether the endpoints are included.