1 / 29

Compound Inequalities

Compound Inequalities. Goal: Write, solve and graph compound inequalities. Prepare to have your mind blown!! . What are Compound Inequalities?. Compound Inequalities: two inequalities connected by and or or . Example: x is less than five and greater than -10 or -10 < x < 5.

gelsey
Télécharger la présentation

Compound Inequalities

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. Compound Inequalities Goal: Write, solve and graph compound inequalities. Prepare to have your mind blown!! 

  2. What are Compound Inequalities? • Compound Inequalities: two inequalities connected by andor or. Example: x is less than five and greater than -10 or -10 < x < 5

  3. THE “OR” STORY • LETS NOW SUPPOSE THAT YOU HAD EXHIBITED SUCH GOOD BEHAVIOR THAT YOUR MOM TOLD YOU THAT SHE WOULD GO TO WALMART OR K-MART TO TRY TO FIND YOU A NEW GAME THAT YOU HAVE BEEN WANTING FOR MONTHS. • …SHE LATER TOLD YOU THAT SHE WENT TO K MART AND THEY DIDN’T HAVE IT, SORRY! • DID SHE KEEP HER PROMISE?

  4. THE “AND” STORY • SUPPOSE THAT YOU HAD EXHIBITED SUCH GOOD BEHAVIOR THAT YOUR MOM TOLD YOU THAT SHE WOULD GO TO WALMART AND K-MART TO TRY TO FIND YOU A NEW GAME THAT YOU HAVE BEEN WANTING FOR MONTHS. • …SHE LATER TOLD YOU THAT SHE WENT TO K MART AND THEY DIDN’T HAVE IT, SORRY! • DID SHE KEEP HER PROMISE?

  5. Writing Compound Inequalities From Words • x is greater than 2 and less than or equal to 10 • x is less than -7 or greater than 3

  6. Writing Compound Inequalities (AND) • Let’s Break it Down

  7. Writing Compound Inequalities (OR)

  8. Real Life Compound Inequalities Write and inequality to describe the Alpine meadow region. (use y is represent region)

  9. Real Life Compound Inequalities Write and inequality to describe the Timber Region. (use y is represent region)

  10. Graphing Compound Inequalities • AND  connect together (one line segment) • OR  two separate lines

  11. Let’s Try (AND Ex. 1) -2 < x < 5 • Break it up: x > -2 AND x < 5

  12. Let’s Try (AND Ex. 2) -9 ≤ x < -1

  13. Let’s Try (AND Ex. 3) -5 ≤ x ≤ 4

  14. Let’s Try (OR Ex. 1) x < -6 or x > 4 • Break it up: x < -6 OR x > 4

  15. Let’s Try (OR Ex. 2) x ≤ -1 or x > 3

  16. Let’s Try (OR Ex. 3) x < -8 or x ≥ 8

  17. Questions?! HOMEWORK: Graphing Compound Inequalities Worksheet

  18. Compound Inequalities (cont.)SOLVING

  19. Solving a Compound Inequality with OR • Solve both inequalities separately.

  20. Solving a Compound Inequality with OR 3x + 1 < 4 or 2x – 5 > 7

  21. Solving a Compound Inequality with OR – Ex. 2 • Solve both inequalities separately. 2x + 3 < -1 or 3x – 5 > -2

  22. Solving a Compound Inequality with OR – Ex. 3 2x - 1 < -7 or 7x – 7 > 7

  23. Solving Compound Inequalities with AND • Do all steps to all parts of inequality. -2 ≤ 3x – 8 ≤ 10

  24. Solving Compound Inequalities with AND – Ex. 2 7 < x + 4 < 8

  25. Solving Compound Inequalities with AND – Ex. 3 -15 < 2x - 5 < 9

  26. Multiplying or Dividing by a Negative • When multiplying or dividing a compound inequality by a negative you MUST SWITCH BOTH SIGNS!!!!

  27. Example 1 -2 < -3x – 2 < 1

  28. Example 2 -8 < -6x – 2 < 16

  29. Homework  • Pg. 349 Numbers 12 – 24 evens • SHOW WORK!!

More Related