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Intro to Inequalities

Intro to Inequalities. ≥. ˂. ≤. >. Credit Card. Situation 1: Your mom gave you her credit card and said that you could go shopping for a birthday present for your girlfriend (or boyfriend). She said that you could spend no more than $125.

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Intro to Inequalities

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  1. Intro to Inequalities ≥ ˂ ≤ >

  2. Credit Card Situation 1: Your mom gave you her credit card and said that you could go shopping for a birthday present for your girlfriend (or boyfriend). She said that you could spend no more than $125. • List at least 5 of the amounts that you could spend. 2. You saw an awesome cell phone that was priced at $130? Can you buy it? Explain your thinking.

  3. Credit Card Situation 1: Your mom gave you her credit card and said that you could go shopping for a birthday present for your girlfriend (or boyfriend). She said that you could spend no more than $125. • What is the maximum amount that you could spend on the present and still be following your mom's instructions? 4. Is there just one correct amount that you could spend?

  4. Credit Card Situation 1: She said that you could spend no more than $125. What other words could we use for this? No more than 125 Up to 125 Less than or equal to 125 Maximum of 125

  5. Using Inequality symbols helps to represent all the possibilities that you could spend. Symbolic: spending (x) 125 x ≤ 125 same as 125 ≥ x

  6. Credit Card Situation 2: What if your mom said that you had to spend at least $125 on the present. • List no less than 4 of the possibilities that you could spend. • What is the least you could spend on the present and still be following your mom's instructions? • What is the most you could spend on the present and still be following your mom's instructions?

  7. Credit Card Situation 2: What if your mom said that you had to spend at least $125 on the present. What other words could we use for this? 125 or more At least 125 Greater than or equal to 125 Minimum of 125

  8. Symbolic: spending (x) 125 x ≥ 125 same as 125 ≤ x

  9. Fill in each column with phrases that best describe the inequality LESS THAN OR EQUAL TO GREATER THAN LESS THAN GREATER THAN OR EQUAL TO MAXIMUM OF SMALLER THAN BIGGER THAN MINIMUM OF UP TO AT LEAST NO MORE THAN NO LESS THAN AT MOST

  10. NAME THAT NUMBER

  11. What is a compound inequality?____________________________ ___________________________________ ___________________________________________. Situation 3: Contestants on American idol must be between the ages of 15 and 28. 1. List at least 5 of the ages a contestant could be.

  12. Situation 3: Contestants on American idol must be between the ages of 15 and 28. 2. What is the youngest you could be and how could you describe that as an inequality? 3. What is the oldest you could be and how could you describe that as an inequality? 4. How could you write this situation using inequalities?

  13. Write inequalities based on the situations below: • Jason can spend up to $95 on his Dad’s credit card • Ella must have an 85 or over in MMA to get her car back • Dana must not fail more than 2 classes this year in order to graduate • Sam needs to score better than 98 on his next English quiz to get an A average • Angel cannot spend more than 2 and a half hours on her homework • John may watch up to half an hour of TV per day • If Aaron uses more than 600 minutes on his cell phone each month, he pays a $20 penalty • Catherine has to smile 5 or more times a day at work in order to get a $100 bonus

  14. Homework • Pg. 171 #1-5, 18-21, 34-37, 46-49 • Pg. 206 #2, 15, 28, 30-35

  15. Inequality symbols allow us to represent situations that have ___________________________. You use them instead of ___________________________. What is a solution to an inequality? ___________________________________________________.

  16. Try It 1. You can receive a maximum of 3 absences to exempt the final exam. numbers_______, _______, _______ Inequality____________________ 2. Your semester average for the class needs to be at least an 80 to exempt the final exam. numbers_______, _______, _______ Inequality____________________ 3. To pass Algebra you can have no less than a 70 average for the entire school year. numbers_______, _______, _______ Inequality____________________ 4. To ride on the roller coaster, Texas Cyclone, you must be taller than 40 inches. numbers_______, _______, _______ Inequality____________________

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