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Lesson Menu. Main Idea Key Concept: Addition and Subtraction Properties of Inequality Example 1: Solve Inequalities Using Subtraction and Addition Example 2: Solve Inequalities Using Subtraction and Addition Example 3: Graph Solutions of Inequalities Example 4: Write an Inequality.

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  1. Lesson Menu Main Idea Key Concept: Addition and Subtraction Properties of Inequality Example 1: Solve Inequalities Using Subtraction and Addition Example 2: Solve Inequalities Using Subtraction and Addition Example 3: Graph Solutions of Inequalities Example 4: Write an Inequality

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

  3. Key Concept

  4. Solve Inequalities Using Subtraction and Addition Solve x + 5 > 12. x + 5 > 12 Write the inequality. x + 5 – 5> 12 – 5Subtract 5 from each side. x > 7 Simplify. Answer: The solution is x > 7. Example 1

  5. Solve x – 5 < 10. A.x < 5 B.x > 5 C.x < 15 D.x > 15 Example 1 CYP

  6. Solve Inequalities Using Subtraction and Addition Solve –8 ≥y + 3. –8 ≥y + 3 Write the inequality. –8 – 3 ≥y + 3 – 3Subtract 3 from each side. –11 ≥y Simplify. Answer: The solution is –11 ≥y or y≤ –11. Example 2

  7. Solve 4≥ h + 1. A. 5 ≥ h B. 5 ≤h C. 3 ≥ h D. 3 ≤h Example 2 CYP

  8. Solve . Graph the solution set on a number line. Write the inequality. Subtract from each side. Rename 2 as a fraction with a denominator of 4. Simplify. Graph Solutions of Inequalities Example 3

  9. The solution is . Graph Solutions of Inequalities Graph the solution. Example 3

  10. Answer: The solution is . Graph Solutions of Inequalities Example 3

  11. Solve d + < 6. Graph the solution set on a number line. A. B. C. D. Example 3 CYP

  12. . Write an Inequality SHOPPING Jerome took $20 to the store to buy a book and some CDs. If he buys a book that costs $4.50, what is the most he could spend on CDs? We need to find the greatest amount of money Jerome can spend on CDs. Let y represent the amount Jerome can spend on CDs. Write an inequality to represent the problem. Example 4

  13. Write an Inequality 4.5 + y  20 Write the inequality. (4.50 = 4.5) 4.5 – 4.5 + y  20 – 4.5Subtract 4.5 from each side. y  15.5 Simplify. Check by choosing an amount less than or equal to $15.50, such as $10. Then Jerome would spend $4.50 + $10 or $14.50 in all. Since $14.50 < $20, the answer is reasonable. Answer: So, the most Jerome can spend on CDs is $15.50. Example 4

  14. BOWLING Monique took $15 to the bowling alley. Shoe rental costs $3.75. What is the most she could spend on games and snacks? A.x < $12.25 B.x≤ $11.25 C.x < $11.25 D.x > $11.25 Example 4 CYP

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