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Linear Equations and Inequalities
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Properties of Equality
Match each example with the Property of Equality that it shows. Let a, b, and c be real numbers. If a = b, then a + c = b + c. If a = b, then a – c = b – c. If a = b, then ac = bc. If a = b, then a ÷ c = b ÷ c. Multiplication Property of Equality Addition Property of Equality Division Property of Equality Subtraction Property of Equality
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Properties of Inequality
Match each example with the Property of Inequality that it shows. Let a, b, and c be real numbers. If a < b, then a + c < b + c. Multiplication Property of Inequality Addition Property of Inequality Division Property of Inequality Subtraction Property of Inequality If a > b, then a – c > b – c. If a < b, c > 0, then a ÷ c < b ÷ c, and if a < b, c < 0, then a ÷ c > b ÷ c. If a < b, c > 0, then a × c < b × c, and if a < b, c < 0, then a × c > b × c.
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