1. Linear Inequalities Writing and Solving

2. Warm Up: Solve the and graph the following:

3. Objective The student will be able to write and solve linear inequalities.

4. Exploration Linear Inequalities Exploration

5. With a Partner… Blake and Denise are on a date. Blake has $50.00 to spend on dinner and a 20% tip. Write an inequality that illustrates how much Blake and Denise’s can be without going over $50.00: Find the maximum cost the dinner can be without going over and put the answer in set builder notation:

6. Inequalities Inequality signs and meaning:

7. Set Builder Notation Set builder notation is a way to represent solutions to inequalities. For example: The set builder notation would be:

8. Example: Mr. Garvey has a prepaid cell phone that costs $1.00 a day plus $.10 per minute that he uses. He has a daily budget of $5.00 for his phone. Write an inequality for the situation: What is the maximum amount of minutes Mr. Garvey can use and not go over budget? Put your answer in set builder notation:

9. With a Partner… Timothy has $250 to spend on the new iPhone 5s and a case. If the iPhone costs $199 write an inequality that represents this situation: What is the maximum amount Timothy can spend on a case. Put your answer in set builder notation. If the OtterBox Defender case costs $90.00 does Timothy have enough money for the case and phone? If the OtterBox Defender case costs $90.00 does Timothy have enough money for the case and phone?

10. On Your Own… Denise and Jacqueline are shopping at Macy’s. Denise has $75.00 to spend and has already bought a $35.00 shirt. Write an inequality that describes the situation. What is the maximum amount of money she can spend on lunch? Write your answer in set builder notation. If Denise and Jacqueline split their $50 lunch bill evenly, does Denise have enough money?

11. On Your Own… Principal O'Shaughnessy is buying pizza for Mr. Garvey’s class. He has set aside $60.00 for pizza and drinks and has spent $45.00 on the pizza. Write an inequality that represents this situation. What is the maximum amount of 2 liter bottle sodas Principal O’Shaughnessy can purchase? Put your answer in set builder notation. If 2 liter bottles cost $2.00 a piece does he have enough to buy ten of them why or why not?

12. Homework and Exit Ticket Exit Ticket: Solve and put into set builder notation: Homework: Page 77 #’s 1- 12 * put on a separate sheet of paper *