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How can I use what I know about linear relationships to create my own compound inequalities?

How can I use what I know about linear relationships to create my own compound inequalities?. For example: I want to buy DVDs, and I want to spend at least $32, and at most $92. Each DVD costs $12. How many can I buy? .

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How can I use what I know about linear relationships to create my own compound inequalities?

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  1. How can I use what I know about linear relationships to create my own compound inequalities? For example: I want to buy DVDs, and I want to spend at least $32, and at most $92. Each DVD costs $12. How many can I buy?

  2. In this lesson you will learn how to create compound linear inequalities by identifying relationships between important information.

  3. or: Only one statement needs to be true. Graph of the solution set extends from boundary points to ∞or -∞ Compound linear inequality: two linear inequalities joined by the words “and” or “or” and: Both statements need to be true. Graph of the solution set is between two numbers

  4. Greater than > Greater than or equal to ≥ Less than < Less than or equal to ≤

  5. You can solve linear inequalities the same way that you solve linear equations. 3x + 7 > 25 -7 -7 3x = 18 x > 6 Additive and multiplicative inverses

  6. Identifying a problem as a compound inequality but writing only one part of the inequality I need between 3 and 4 ounces of milk. Can I write it like this? m > 3?

  7. Suppose I want to order DVDs online. Each DVD costs $12, and shipping is $8 for the entire order. I need to spend at least $32 in order for them to ship the order to me, but I have only $92 to spend. How many DVDs can I order?

  8. At least $32 Have only $92 $12 per DVD $8 for shipping 32 ≤ 12D + 8 0 5 12D + 8 ≤ 92 2 ≤ D ≤ 7

  9. In this lesson you have learned to create compound linear inequalities by identifying relationships between important information.

  10. Write a compound linear inequality to model the following problem: The lengths of the sides of a triangle are in the ratio 5:12:13. Find the length of the longest side if the perimeter is between 30 and 45 inches.

  11. Write an inequality story. Trade it with a friend. Write compound inequalities to match the story.

  12. Find take-out menus from restaurants. Create and solve inequalities to order meals for a given amount of people but stay between two total amounts of money.

  13. Choose a value for “The Mystery Number” and have your friend ask yes/no questions pertaining to inequalities in order to guess the correct value.

  14. Write a compound inequality to model the following problem: A house painter mixing paints needs between 4 and 5 liters of an off-white mixture that contains ten times as much white paint as brown. What are possible numbers of liters the painter can use of each color?

  15. Write a compound inequality to model the following problem: Suppose you are trying out for your school’s cross country team. If you run slower than a 9-minute mile, you are cut from the team. If you run faster than a 6½-minute miles, you move to the Varsity team. You will be running a 3-mile course, and your coach allows a ½ minute cushion in case there are any problems on the course. What times for the course will result in your making the Junior Varsity team?

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