1 / 10

1.7 Solving Absolute Value Equations & Inequalities

1.7 Solving Absolute Value Equations & Inequalities. p. 50. Absolute Value (of x). Symbol lxl The distance x is from 0 on the number line. Always positive Ex: l-3l=3. -4 -3 -2 -1 0 1 2. Ex: x = 5. What are the possible values of x?

lamar-james
Download Presentation

1.7 Solving Absolute Value Equations & 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. 1.7 Solving Absolute Value Equations & Inequalities p. 50

  2. Absolute Value (of x) • Symbol lxl • The distance x is from 0 on the number line. • Always positive • Ex: l-3l=3 -4 -3 -2 -1 0 1 2

  3. Ex: x = 5 • What are the possible values of x? x = 5 or x = -5

  4. To solve an absolute value equation: ax+b = c, where c>0 To solve, set up 2 new equations, then solve each equation. ax+b = c or ax+b = -c ** make sure the absolute value is by itself before you split to solve.

  5. Ex: Solve 6x-3 = 15 6x-3 = 15 or 6x-3 = -15 6x = 18 or 6x = -12 x = 3 or x = -2 * Plug in answers to check your solutions!

  6. Ex: Solve 2x + 7 -3 = 8 Get the abs. value part by itself first! 2x+7 = 11 Now split into 2 parts. 2x+7 = 11 or 2x+7 = -11 2x = 4 or 2x = -18 x = 2 or x = -9 Check the solutions.

  7. Solving Absolute Value Inequalities • ax+b < c, where c>0 Becomes an “and” problem Changes to: –c<ax+b<c • ax+b > c, where c>0 Becomes an “or” problem Changes to: ax+b>c or ax+b<-c

  8. Ex: Solve & graph. • Becomes an “and” problem -3 7 8

  9. Solve & graph. • Get absolute value by itself first. • Becomes an “or” problem -2 3 4

  10. Assignment

More Related