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Warm ups

Learn to solve and graph compound inequalities involving "and." Includes examples, steps, and special cases. Homework and math lab warm-up exercises included.

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Warm ups

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  1. Warm ups

  2. 7-4 Compound Inequalities Objective: To solve and graph compound inequalities involving “and”

  3. Compound Inequalities • “and” – solution has to qualify for both inequalities at the same time! • Steps: • Graph on different number lines first • Then combine onto one number line Example 1: x < 5 and x > -2 Answer

  4. TOO x > 0 and x < 7

  5. Another way to write “and” Example 2: 2 < x < 4 • read: “2 is less than x which is less than 4” • Split up into 2 separate inequalities • 2 < x and x < 4 x > 2 Answer

  6. TOO

  7. Example 3

  8. Special Cases p < -8 and p > 4 10 – 2p > 12 and 7p < 4p + 9

  9. Working Backwards -1 10

  10. Homework Pg. 410 # 24, 25, 29, 30, 32, 34, 35, 36, 39, 43

  11. Math Lab Warm up Inequalities: Solve the inequality -3x + 1 < 16 and give a reason for each step. Write your steps clearly so someone who has never solved an inequality will understand.

  12. Compound Inequalities -3 < 2x + 7 < 13

  13. Review 14 < 3n + 2 < 2 -3 < 2x + 7 < 13

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