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Unit 1 Lesson 5 Aim: How do we solve absolute inequalities? Do Now: Solve and Graph

Name NSCHS 9/12/14 Alg2/Trig. Unit 1 Lesson 5 Aim: How do we solve absolute inequalities? Do Now: Solve and Graph. 28 > 6k + 4 > 16. m – 7 > -12 or -3m + 2 > 38. Example:. 9 = l x + 12 l. 7 = l y + 5 l - 1. Example.

nicholas-carroll
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Unit 1 Lesson 5 Aim: How do we solve absolute inequalities? Do Now: Solve and Graph

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  1. Name NSCHS 9/12/14 Alg2/Trig Unit 1 Lesson 5Aim: How do we solve absolute inequalities? Do Now: Solve and Graph • 28 > 6k + 4 > 16 • m – 7 > -12 or • -3m + 2 > 38

  2. Example: • 9 = l x + 12 l • 7 = l y + 5 l - 1

  3. Example • Remember: absolute value always gives us positive answers • l 3x – 2 l + 8 = 1

  4. Homework Check

  5. Absolute Value Inequalities • Solve them the same way you would equations except that when you separate the equation into 2 cases, you must flip the sign on case 2. • If the variable starts off less than a value, it becomes an intersection. If the variable is more than a value, it becomes a union. • Examples: lxl < a • x< a and x>-a • Examples: lxl > b • x>b or x <-b

  6. Example: • lxl< 5 • x < 5 and x > -5

  7. Example: • lxl> 14 • x > 14 or x < -14

  8. Example: • l 4x – 7 l > 13

  9. Practice • l 5z + 2 l < 17

  10. Classwork/Homework#4 • P. 16 # 8 – 11, 16 – 20, 25, 2

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