Unit 5 Post-Assessment REVIEW [8.18 Inequalities]

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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, greater than or equal to, or less than or equal to the other.

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What symbols are used in inequalities?

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The symbols used in inequalities are: < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

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How do you represent the inequality 'x is greater than -28' in symbols?

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What does a closed dot on a number line indicate when graphing inequalities?

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A closed dot indicates that the number is included in the solution set, used for inequalities with ≤ or ≥.

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What does an open dot on a number line indicate when graphing inequalities?

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An open dot indicates that the number is not included in the solution set, used for inequalities with < or >.

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The solution includes all numbers less than or equal to 11.

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Graph an open dot at 14 and shade to the right to indicate all numbers greater than 14.

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

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Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.

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Translate the verbal phrase 'Three times the difference of x and 4 is greater than -6' into an inequality.

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