Linear Equations and Inequalities

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Presentation transcript:

Linear Equations and Inequalities

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

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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