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Chapter 1: Equations and Inequalities

Chapter 1: Equations and Inequalities. Lesson 5: Solving Inequalities. Get Ready. Open books to pg. 33 and read section “get ready” If Kuni knows that she will use no more than 400 minutes per month, which plan is the best for her? Ans plsn 1`. Key Terms.

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Chapter 1: Equations and Inequalities

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  1. Chapter 1: Equations and Inequalities Lesson 5: Solving Inequalities

  2. Get Ready • Open books to pg. 33 and read section “get ready” • If Kuni knows that she will use no more than 400 minutes per month, which plan is the best for her? • Ans plsn 1`

  3. Key Terms • Trichotomy (tri-kot-uh-mee) Property: For any two real numbers, a and b, exactly one of the following statements is true. • a < b a = b a > b • Adding the same number to, or subtracting the same number from each side of an inequality does not change the truth of the inequality.

  4. Key Concepts

  5. Key Concept

  6. Example 1: • Solve 7x-5>6x+4 graph the solution set on the number line • 7x-5>6x+4 • 7x – 5 + -6x > 6x + 4 + -6x Add -6x to both sides • x -5 > 4 simplify • X -5 + 5 > 4 + 5 add 5 to both sides • x > 9 simplify • What will the graph look like?

  7. Key Concept

  8. Key Concept

  9. Key Term • Set builder notation: this is a way that the solution set of an inequality can be expressed. • Set builder notation = {x I x > 9} • This is read “the set of all numbers such that x is greater than 9. • See examples

  10. Homework: pg 37-38, #11-43 odd • Classwork: pg. 37-38 #1-9

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