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Inequalities www.themegallery.com 33 22 11 Denoting Inequalities Properties Solving Inequalities

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Definition An inequality is a statement that two quantities or expressions are not equal 2 www.themegallery.com

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Denoting Inequalities Notation Endpoints are the extreme limits of the inequality Closed Interval Denoted by [ ] Includes the endpoint(s) Associated with ≥ and ≤ Open Interval Denoted by ( ) Includes all values up to, but not including the endpoint(s) Associated with > and < 3 www.themegallery.com

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Examples of Notation 4

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Properties of Inequalities 5

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Solving Inequalities Solve as you would an equation… With three new rules Reverse the signs (i.e., etc.) when: Dividing by a negative number Multiplying by a negative number Swapping positions of the variable and final answer Variable needs to be on the left in the event of a single inequality symbol Variable needs to be in the middle in the event of two inequality symbols (continued inequality) 6 www.themegallery.com

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An Example of Solving an Inequality 7 www.themegallery.com

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Another Example of Solving an Inequality 8

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Yet Another Example of Solving an Inequality 9

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Practice Problems Page 119 Problems 3-46 Do not sketch graphs 10

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