1 / 32

Math 71A

Math 71A. 4.3 – Equations and Inequalities Involving Absolute Value. Equations Involving Absolute Value. Here’s an example of an absolute value equation : What are the solutions to the above equation?. Equations Involving Absolute Value. Here’s an example of an absolute value equation :

dakota
Download Presentation

Math 71A

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Math 71A 4.3 – Equations and Inequalities Involving Absolute Value

  2. Equations Involving Absolute Value Here’s an example of an absolute value equation: What are the solutions to the above equation?

  3. Equations Involving Absolute Value Here’s an example of an absolute value equation: What are the solutions to the above equation? and

  4. Equations Involving Absolute Value Ex 1.Solve and check: Ex 2.Solve:

  5. Equations Involving Absolute Value Ex 3.What the solution set of?

  6. Equations Involving Absolute Value Ex 3.What the solution set of? positive negative

  7. Equations Involving Absolute Value Ex 3.What the solution set of? positive negative Solution set:

  8. Equations Involving Absolute Value Ex 4.Solve:

  9. Solving Inequalities Involving Absolute Value Ex 5.What is the solution set of ?

  10. Solving Inequalities Involving Absolute Value Ex 5.What is the solution set of ?

  11. Solving Inequalities Involving Absolute Value Ex 5.What is the solution set of ?

  12. Solving Inequalities Involving Absolute Value Ex 5.What is the solution set of ?

  13. Solving Inequalities Involving Absolute Value Ex 6.What is the solution set of ?

  14. Solving Inequalities Involving Absolute Value Ex 6.What is the solution set of ?

  15. Solving Inequalities Involving Absolute Value Ex 6.What is the solution set of ?

  16. Solving Inequalities Involving Absolute Value Ex 6.What is the solution set of ?

  17. Solving Inequalities Involving Absolute Value In general, if □ represents an algebraic expression (like ) and is a positive #, then… …solutions of are the #’s that satisfy …solutions of are the #’s that satisfy or

  18. Solving Inequalities Involving Absolute Value In general, if □ represents an algebraic expression (like ) and is a positive #, then… …solutions of are the #’s that satisfy …solutions of are the #’s that satisfy or

  19. Solving Inequalities Involving Absolute Value In general, if □ represents an algebraic expression (like ) and is a positive #, then… …solutions of are the #’s that satisfy …solutions of are the #’s that satisfy or

  20. Solving Inequalities Involving Absolute Value In general, if □ represents an algebraic expression (like ) and is a positive #, then… …solutions of are the #’s that satisfy …solutions of are the #’s that satisfy or (Note: the above rules work with and as well)

  21. Solving Inequalities Involving Absolute Value Ex 7.Solve the inequality: Ex 8.Solve the inequality: Ex 9.Solve the inequality:

  22. Solving Inequalities Involving Absolute Value Ex 10.What’s the solution set of ? Ex 11.What’s the solution set of ?

  23. Solving Inequalities Involving Absolute Value Ex 10.What’s the solution set of ? Ex 11.What’s the solution set of ? positive negative

  24. Solving Inequalities Involving Absolute Value Ex 10.What’s the solution set of ? Ex 11.What’s the solution set of ? positive negative

  25. Solving Inequalities Involving Absolute Value Ex 10.What’s the solution set of ? Ex 11.What’s the solution set of ? positive negative negative positive

  26. Solving Inequalities Involving Absolute Value Ex 10.What’s the solution set of ? Ex 11.What’s the solution set of ? positive negative negative positive

  27. Solving Inequalities Involving Absolute Value In general… …solution set for neg # is _______ …solution set for neg #is __________

  28. Solving Inequalities Involving Absolute Value In general… …solution set for neg # is _______ …solution set for neg #is __________

  29. Solving Inequalities Involving Absolute Value In general… …solution set for neg # is _______ …solution set for neg #is __________

  30. Ex 12.Solve the inequality:

  31. Ex 12.Solve the inequality: positive negative

  32. Ex 12.Solve the inequality: positive negative

More Related