Unit 1B Test Review

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

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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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What is the rule for solving inequalities when multiplying or dividing by a negative number?

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When multiplying or dividing both sides of an inequality by a negative number, you must flip the inequality sign.

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What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often using 'and' or 'or'.

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What does it mean if an equation has infinitely many solutions?

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An equation has infinitely many solutions if any value of the variable satisfies the equation.

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The simplified form shows that the equation has infinitely many solutions.

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What is the difference between 'one solution' and 'no solution' in equations?

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'One solution' means there is exactly one value that satisfies the equation, while 'no solution' means there are no values that satisfy the equation.

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What does it mean to 'flip' the inequality sign?

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To 'flip' the inequality sign means to change it from '<' to '>' or from '>' to '<' when multiplying or dividing by a negative number.