1 / 6

Section 6-3

Section 6-3. Solve Multi-Step Inequalities. Objective: Students will create and solve inequalities. Standards: A.REI.1 , A.REI.3 , A.CED.3. Example 1. Solve a two-step inequality: JUSTIFY -7x + 2 < -5 - 2 -2 -7x < -7 -7 -7

yaphet
Download Presentation

Section 6-3

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. Section 6-3 Solve Multi-Step Inequalities Objective: Students will create and solve inequalities. Standards: A.REI.1 , A.REI.3 , A.CED.3

  2. Example 1 Solve a two-step inequality: JUSTIFY -7x + 2 < -5 - 2 -2 -7x < -7 -7 -7 x > 1 Graph: -3 -2 -1 0 1 2 3 4 Given. APOI Simplify Divided by negative, So FLIP the inequality MPOI Simplify

  3. Example 2 Solve a multi-step inequality: ⅓(3x + 6) ≥ -1 x + 2 ≥ -1 - 2 -2 x ≥ -3 Graph: -3 -2 -1 0 1 2 3 4 Given. Distribute APOI Simplify

  4. Example 3 Solve a multi-step inequality: 9x + 6 ≤ 6x + 21 -6x -6x 3x + 6 ≤ 21 - 6 -6 3x ≤ 15 3 3 x ≤ 5 Graph: 1 2 3 4 5 6 7 8 Given. APOI Simplify APOI Simplify MPOI Simplify

  5. Example 4 • Identify the number of solutions of the inequality: • 8x – 4 ≥ 4(2x – 1) • 8x – 4 ≥ 8x – 4 • -8x -8x • -4 ≥ -4 • -2x + 9 < -2(x – 3) • -2x + 9 < -2x + 6 • +2x +2x • 9 < 6 All Real Numbers because -4 ≥-4 is True. No Solutions because 9 < 6 is False.

  6. Homework Section 6-3 Pg. 372 – 374 Solve & Prove: 3 – 9, 17 –20 Follow Directions: 29, 30, 37, 38, 40

More Related