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Main Idea/Vocabulary Solve inequalities by using the Addition or Subtraction Properties of Inequality.

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KC 1

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Example 1 Solving Inequalities Solve –21 ≥ d – 8. Check your solution. –21≥d – 8Write the inequality. –21 + 8≥d – 8 + 8Add 8 to each side. –13≥d or d ≤ –13Simplify. Answer: The solution is –13 ≥ d or d ≤ –13. Check –21≥d – 8Write the inequality. –21≥–22This statement is true. –21 ≥–14 – 8Replace d with a number less than or equal to –13, such as –14. ?

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1.A 2.B 3.C 4.D Example 1 A.b > 16 B.b > 8 C.b > –8 D.b > –16 Solve b – 12 > 4.

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Example 2 Solving Inequalities Solve y + 5 > 11. Check your solution. y + 5>11Write the inequality. y + 5 – 5>11 – 5Subtract 5 from each side. y>6Simplify. Answer: The solution is y > 6. CheckReplace y in the original inequality with a number greater than 6.

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1.A 2.B 3.C 4.D Example 2 A.g ≤ 4 B.g ≥ 4 C.g ≤ –4 D.g ≥ –4 Solve 9 ≤ g Check your solution.

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Example 3 Kayta took $12 to the bowling alley. Shoe rental costs $3.75. What is the most he could spend on games and snacks? Read the Item The phrase the most means less than or equal to. Solve the Item Let d = dollars spent on games and snacks. Estimate $12 – $4 = $8 Cost of shoe rental plus dollars spent on games and snacks is less than or equal to $ d 12

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Example d ≤12Write the inequality. Answer: So, Kayta could spend no more than $8.25 on games and snacks – d ≤12 – 3.75Subtract 3.75 from each side. d ≤ 8.25Simplify. Check for Reasonableness$8.25 ≈ $8

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1.A 2.B 3.C 4.D Example 3 A.$17.00 B.$17.70 C.$17.75 D.$18.75 Monique took $20 to the bookstore. She spent $2.25 on a snack at the library café. What is the most she could spend on books?

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1.A 2.B 3.C 4.D Five Minute Check 1 A.g > 90 B.g ≥ 90 C.g < 90 D.g ≤ 90 Write an inequality for the sentence. A grade of no less than 90 is considered an "A." (over Lesson 8-6)

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1.A 2.B 3.C 4.D Five Minute Check 2 A.a ≥ 10 B.a > 10 C.a ≤ 10 D.a < 10 Write an inequality for the sentence. Children age 10 and under can order from the kids menu. (over Lesson 8-6)

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1.A 2.B Five Minute Check 3 A.true B.false For the given value, state whether the inequality is true or false. 8 + n > 12; n = 5 (over Lesson 8-6)

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1.A 2.B Five Minute Check 4 A.true B.false For the given value, state whether the inequality is true or false. y – 15 ≤ –7; y = 8 (over Lesson 8-6)

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1.A 2.B Five Minute Check 5 A.true B.false For the given value, state whether the inequality is true or false. –5x ≤ 40; x = –10 (over Lesson 8-6)

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1.A 2.B 3.C 4.D Five Minute Check 6 A.n > 5 B.n ≥ 5 C.n < 5 D.n ≤ 5 Which inequality is graphed on the number line? (over Lesson 8-6)

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