1 / 20

Solving One-Step Inequalities: Properties and Examples

Learn to solve one-step inequalities using addition, subtraction, multiplication, and division properties. Understand how the properties for inequalities differ from those for equations. Practice problems included.

ojan
Download Presentation

Solving One-Step Inequalities: Properties and Examples

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. Solving One-Step Inequalities 2 3 4 5 6 7 8

  2. Solving One-Step Inequalities Objective: To solve one-step inequalities using properties for inequalities

  3. Solving One-Step Inequalities What are the Properties for Inequalities? Are they the same as for regular equations?

  4. Solving One-Step Inequalities Addition Property for Inequalities x -15 < 73 x -15 < 73 + 15 + 15 Add 15 to both sides x < 88

  5. Solving One-Step Inequalities Subtraction Property for Inequalities y + 15 < 25 y +15 < 25 - 15 - 15 Subtract 15 from both sides y < 10

  6. Solving One-Step Inequalities Multiplication Property for Inequalities Multiply both sides by the reciprocal of the coefficient

  7. Solving One-Step Inequalities Division Property for Inequalities Divide both sides by the coefficient of x

  8. Notice: Sign CHANGED Division Property for Inequalities Caution! Dividing by a negative number Same if multiplying?

  9. …the sign CHANGES Multiplication Property for Inequalities Caution! When you multiply by a negative number… YES! -x > 2 5 x < -10 (-5 )-x > 2(-5) 1 5

  10. Solving One-Step Inequalities Let’s try some on our own …… ready?

  11. Solving One-Step Inequalities 1

  12. Solving One-Step Inequalities 2

  13. Solving One-Step Inequalities 3

  14. Solving One-Step Inequalities 4

  15. Answers for #1 - #4 • x ≤ 1 • 8 ≤ x or x ≥ 8 • x ≤ 5 • x > 4

  16. Solving One-Step Inequalities 5

  17. Solving One-Step Inequalities 6

  18. Solving One-Step Inequalities 7

  19. Solving One-Step Inequalities 8

  20. Answers for #5 - #8 5. x ≥ -6 6. 21 < x or x > 21 7. x ≥ 2 8. x > 15

More Related