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Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Lesson 3.5 Solving Inequalities Using Multiplication or Division Skill Check Skill Check

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Skill Check 2. 85 ÷ (-5) = 3. -7 (9) = -32 -17 -63 1. 4 (-8) = 4. -39 ÷ (-3) =13 Evaluate.

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Vocabulary Is a mathematical statement formed by placing an inequality symbol between two expressions. Symbols are: <, >, <, > With a variable is the set of all numbers that produce true statements when substituted for the variable. Are inequalities that have the same solution.

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Study Strategy Solving inequalities is the same as solving equations except that when you multiply or divide by a negative number the symbol is reversed.

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Solving an Inequality Using Multiplication EXAMPLE 1 SOLUTION a. k ÷ -8 > -5 Solve. a. k ÷ -8 > -5 k < 40 y > 78 b. y ÷ 6 > 13c. m ÷ -4 < 15 b. y ÷ 6 > 13 c. m ÷ -4 < 15 m > -60 40 0 78 0 -60 0

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Solving an Inequality Using Division EXAMPLE 2 SOLUTION a. -18 y < 72 Solve. a. -18 y < 72 y > -4 f < 28 b. -2 f > -56c. 7 m < -147 b. -2 f > -56 c. 7 m < -147 m < -21 -4 0 28 0 -21 0

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Writing and Graphing an Inequality EXAMPLE 3 Customer Service On average, Kevin a customer service representative helps at most 160 customers during an 8-hour workday. Write and solve an inequality to find the average number of customers c he can help each hour during one of his workdays. Write a verbal model, then graph the inequality. ANSWER c < 20 20 0 Kevin helps each hour-customers c < Kevin’s average number of customers ÷ 8 hour workday c < 160 ÷ 8 Kevin can help 20 or fewer customers on average each hour during one of his workdays.

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Lesson Quiz 1. 14 m > -56 2. a ÷ -3 < 9 3. Write the following verbal sentence as an inequality. Then solve the inequality. Six times a number is no more than -96. m > -4 a > -27 6 n < -96 Solve the Inequality. Graph your solution. 4. Challenge Christina is ordering gimbop for her classmates. They cost 2250 won each, including tax, and there is a 6000 won delivery charge. How many gimbops can she buy if she has 42000 won? -270 -40 n < -16 2250 g + 6000 < 42000 g < 16 She can buy at most 16 gimbops

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Closure 1.) When does an inequality symbol need to be reversed when solving an inequality. Whenever each side of the inequality is multiplied or divided by a negative number

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Closure 2.) If 0 < a < b, which is greater, a/b or –b/-a? -b/-a

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Lesson 3.5 Homework: pp.148-150 Exs. (11, 22, 24, 26, 30, 32, 34, 36, 38, 59, 60, 61) Challenge/Bonus Question 49

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