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Math 71A PowerPoint Presentation

Math 71A

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Math 71A

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  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