1 / 20

1/4/2020 11:06 AM

Warm-Up. Solve:. 1/4/2020 11:06 AM. 1. SOLVING INEQUALITIES. Section 1-5. To Graph Inequalities. Steps: The variable is in front of the sign Determine the sign and its symbol Follow the arrow (x must be on the left!). 1/4/2020 11:06 AM. 3.

annasavage
Download Presentation

1/4/2020 11:06 AM

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. Warm-Up Solve: 1/4/2020 11:06 AM 1

  2. SOLVING INEQUALITIES Section 1-5

  3. To Graph Inequalities • Steps: • The variable is in front of the sign • Determine the sign and its symbol • Follow the arrow (x must be on the left!) 1/4/2020 11:06 AM 3

  4. -2 -1 0 1 2 3 4 5 6 7 8 Example 1 Graph x < 3 onto the number line 1/4/2020 11:06 AM 4 1-1: Sets of Numbers

  5. -2 -1 0 1 2 3 4 5 6 7 8 Example 2 Graph 3 < x onto the number line Rewrite as x ≥ 3 1/4/2020 11:06 AM 5 1-1: Sets of Numbers

  6. -2 -1 0 1 2 3 4 5 6 7 8 Example 3 Graph -1 < x < 3 onto the number line 1/4/2020 11:06 AM 6 1-1: Sets of Numbers

  7. Intervals • Brackets[ ] : DO include endpoints INCLUSIVE • Parentheses( ) : DO NOT include endpoints NOT INCLUSIVEdeals with infinity

  8. < > Intervals Inequalities: < > 1/4/2020 11:06 AM 8

  9. -2 -1 0 1 2 3 4 5 6 7 8 Example 4 Graph (-1, 3] onto the number line and write in inequality notation. 1/4/2020 11:06 AM 9 1-1: Sets of Numbers

  10. -2 -1 0 1 2 3 4 5 6 7 8 Example 5 Graph (-1, 5) onto the number line and write in inequality notation 1/4/2020 11:06 AM 10 1-1: Sets of Numbers

  11. -2 -1 0 1 2 3 4 5 6 7 8 Example 6 Given the graph below, write the expression using interval notation and inequality notation 1/4/2020 11:06 AM 11 1-1: Sets of Numbers

  12. -2 -1 0 1 2 3 4 5 6 7 8 Example 7 Given the graph below, write the expression using interval notation and inequality notation 1/4/2020 11:06 AM 12 1-1: Sets of Numbers

  13. -2 -1 0 1 2 3 4 5 6 7 8 Your Turn Given the graph below, write the expression using interval notation and inequality notation 1/4/2020 11:06 AM 13 1-1: Sets of Numbers

  14. -2 -1 0 1 2 3 4 5 6 7 8 Example 8 Graph x – 6 < 1 onto the number line and write it in interval notation 1/4/2020 11:06 AM 14 1-1: Sets of Numbers

  15. -2 -1 0 1 2 3 4 5 6 7 8 Example 9 Graph 8 – 4(2 – x) < -2x onto the number line and write it in interval notation 1/4/2020 11:06 AM 15 1-1: Sets of Numbers

  16. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 Your Turn Graph 4x + 7 < 2x - 3 onto the number line and write it in interval notation 1/4/2020 11:06 AM 16 1-1: Sets of Numbers

  17. -2 -1 0 1 2 3 4 5 6 7 8 Example 10 Graph -4x < 8 onto the number line and write it in interval notation Remember: When you divide by a negative with an inequality, you must flip the inequality sign! 1/4/2020 11:06 AM 17 1-1: Sets of Numbers

  18. -2 -1 0 1 2 3 4 5 6 7 8 Example 11 Graph onto the number line and write it in interval notation 1/4/2020 11:06 AM 18 1-1: Sets of Numbers

  19. -2 -1 0 1 2 3 4 5 6 7 8 Recap of Different Representations Graph: Inequality Notation: Interval Notation:

  20. Assignment Page 133-134 11-15 odd, 23-37 odd, 57-63 odd Due: Monday! Conjugate & Complex Number WKST DUE TODAY! 1/4/2020 11:06 AM 20 1-1: Sets of Numbers

More Related