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Section 2.5

Section 2.5. Creating and Solving Compound Inequalities. Objective. By following instructions students will be able to: Solve a compound inequality and graph the solution set.

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Section 2.5

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  1. Section 2.5 Creating and Solving Compound Inequalities

  2. Objective By following instructions students will be able to: Solve a compound inequality and graph the solution set.

  3. Def: compound statement is formed by combining two or more simple statements. A compound statement can be true or false. AND= both statements are true. OR= when either one statement is true or both.

  4. Explore A: P AND Q is true when ____________.

  5. Explore B: P OR Q is true when ____________.

  6. Def: A compound inequality consists of two separate inequalities joined by an “and” or “or.” “And” – two inequalities whose graphs intersect. “Or” – two inequalities whose graphs point in opposite directions.

  7. Def: A compound inequality consists of two separate inequalities joined by an “and” or “or.” “And” – two inequalities whose graphs intersect. “Or” – two inequalities whose graphs point in opposite directions.

  8. Explain 1A Solve and graph.

  9. Explain 1B Solve and graph.

  10. Your-Turn #1 Solve and graph. a) b)

  11. Explain 2A Solve and graph.

  12. Explain 2B Solve and graph.

  13. Reflect #1 Solve and graph. a) b) What kind of compound inequality has no solution? Your-Turn #2

  14. Explain 3A Write the compound inequality shown by each graph.

  15. Explain 3B Write the compound inequality shown by each graph.

  16. Your-Turn #3 Write the compound inequality shown by each graph. a) b)

  17. Explain 4A Write a compound inequality to represent the indicated quality-control level, and graph the solutions. The recommended pH level for swimming pool water is between 7.2 and 7.6, inclusive. Let p be the pH level of swimming pool water.

  18. Explain 4B Write a compound inequality to represent the indicated quality-control level, and graph the solutions. The recommended free chlorine level for swimming pool water is between 2.0 and 3.0 parts per million, inclusive. Let c be the free chlorine level in the pool.

  19. Your-Turn #4 Write a compound inequality to represent the indicated quality-control level, and graph the solutions. The recommended alkalinity level for swimming pool water is between 80 and 120 parts per million, inclusive.

  20. Revisit Objective Did we… Solve a compound inequality and graph the solution set?

  21. Homework HW: Page 73 #s 1-23, 26

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