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  • 1. Module 3 Lesson 14.notebook January 30, 2014 1/30/14 Module 3, Lesson 14 Aim: Solving Inequalities  Homework: Lesson 14 Problem Set #1, 3, 4, 5 Do Now: Lesson 13 Exit Ticket 1
  • 2. Module 3 Lesson 14.notebook January 30, 2014 Exit Ticket 2
  • 3. Module 3 Lesson 14.notebook January 30, 2014 Exit Ticket: Solution 3
  • 4. Module 3 Lesson 14.notebook Homework Answers January 30, 2014 S.82 4
  • 5. Module 3 Lesson 14.notebook January 30, 2014 Preserved Preserved Reversed Preserved Preserved Reversed Reversed Reversed Reversed 5
  • 6. Module 3 Lesson 14.notebook January 30, 2014 Homework Answers w + 12 w w w + 12 6
  • 7. Module 3 Lesson 14.notebook January 30, 2014 Homework Answers 7
  • 8. Module 3 Lesson 14.notebook January 30, 2014 Solve the inequality Interpret the solution 8
  • 9. Module 3 Lesson 14.notebook January 30, 2014 Discussion: 1.) Recall the formula for profit is revenue - expenses. In this example, what represents the revenue and what represents the expenses? 2.) Why was the inequality "greater than or equal to" used? 3.) What is necessary to reverse the inequality sign? Explain why or why not. 4.) Why is the answer 211 people versus 210 people? 9
  • 10. Module 3 Lesson 14.notebook January 30, 2014 Example 1 A youth summer camp has budgeted $2000 for the campers to attend the carnival. The cost for each camper is $17.95, which includes general admission to the carnival and 2 meals. The youth summer camp must also pay $250 for the chaperones to attend the carnival and $350 for transportation to and from the carnival. What is the greatest amount of campers that can attend the carnival if the camp must stay within their budgeted amount? 10
  • 11. Module 3 Lesson 14.notebook January 30, 2014 Example 2 The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of the exhibit has no other expenses except for a daily insurance cost. If the owner of the animal exhibit wants to make more than $500 in profits for the days, what is the greatest daily insurance rate he can afford to pay? 11
  • 12. Module 3 Lesson 14.notebook January 30, 2014 Example 3: There are several vendors at the carnival who sell products and also advertise their business. Shane works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles. His boss paid him $500 for working all of the days at the carnival plut 5% commission on all of the sales made at the carnival. What was the minimum amount of sales Shane needed to sell if he earned more than $1,500? 12
  • 13. Module 3 Lesson 14.notebook January 30, 2014 Solve the following inequalities. 1.) 4x - 9 < -25 2.) 8 - 2x < -10 13
  • 14. Module 3 Lesson 14.notebook January 30, 2014 Closing: 1.) How is the solution to an inequality interpreted? 14