24_25 Inequality Review

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What is an inequality?

Back

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. Examples include <, >, ≤, and ≥.

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What does the symbol '<' mean in an inequality?

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The symbol '<' means 'less than'. For example, in the inequality x < 5, x is any number less than 5.

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What does the symbol '>' mean in an inequality?

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The symbol '>' means 'greater than'. For example, in the inequality x > 3, x is any number greater than 3.

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What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, in the inequality x ≤ 4, x can be any number less than or equal to 4.

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What does the symbol '≥' mean in an inequality?

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The symbol '≥' means 'greater than or equal to'. For example, in the inequality x ≥ 2, x can be any number greater than or equal to 2.

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Front

What is the solution to the inequality 18 < 3n + 3?

Back

To solve 18 < 3n + 3, subtract 3 from both sides to get 15 < 3n. Then divide both sides by 3 to find n > 5.

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If a trailer can hold a maximum weight of 1,800 pounds, and a mattress weighs 175 pounds, how do you find the maximum number of boxes weighing 60 pounds each?

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First, subtract the weight of the mattress from the maximum weight: 1800 - 175 = 1625. Then divide by the weight of each box: 1625 / 60 = 27.08, so the maximum number of boxes is 27.

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