College Algebra 1.6 Equations & Inequalities Involving Absolute Value
Absolute Value Equations <ul><li>│ U│ = the distance from U to 0. </li></ul><ul><li>│ -8│ = the distance from -8 to 0. </l...
Solving Absolute Value Equations <ul><li>│ U│ = a  ↔  </li></ul><ul><li>YOU MUST CONVERT THE ABOVE  </li></ul><ul><li>EQUA...
c) │x - 5│ = 17.  d) │  │ = 1.
Solving Absolute Value Inequalities ( Less Than ) First plot the solutions.
<ul><li>Solve  </li></ul>Solving Absolute Value Inequalities ( Less Than ) 1.  Write: –c  ≤ ax + b ≤ c 2.  Solve the compo...
Solving Absolute Value Inequalities ( Greater Than ) First plot the solutions.
<ul><li>Solve  </li></ul>Solving Absolute Value Inequalities ( Greater Than ) 1.  Write: ax + b ≥ c  OR  ax + b ≤ -c 2.  S...
Review Absolute Value Inequalities <ul><li>│ U│ <  a  ↔  _______________________ </li></ul><ul><li>│ U│ ≥  a  ↔  _________...
Upcoming SlideShare
Loading in...5
×

1.6 Equations & Inequalities Absolute Value

3,543

Published on

Published in: Technology, Education
0 Comments
2 Likes
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total Views
3,543
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
62
Comments
0
Likes
2
Embeds 0
No embeds

No notes for slide

1.6 Equations & Inequalities Absolute Value

  1. 1. College Algebra 1.6 Equations & Inequalities Involving Absolute Value
  2. 2. Absolute Value Equations <ul><li>│ U│ = the distance from U to 0. </li></ul><ul><li>│ -8│ = the distance from -8 to 0. </li></ul><ul><li>Henceforth, │-8│ = ____ </li></ul><ul><li>Solve │x│ = 3. In other words: </li></ul><ul><li>The absolute value of what number(s) is 3? </li></ul><ul><li>• Solve │x│ = 3. ↔ x = ____ or x = ____ </li></ul><ul><li>Check this. </li></ul>
  3. 3. Solving Absolute Value Equations <ul><li>│ U│ = a ↔ </li></ul><ul><li>YOU MUST CONVERT THE ABOVE </li></ul><ul><li>EQUATION TO THESE 2 EQUATIONS! </li></ul><ul><li>U = ____ or U = _____ </li></ul>If a is a positive real number and if u is any algebraic expression, then
  4. 4. c) │x - 5│ = 17. d) │ │ = 1.
  5. 5. Solving Absolute Value Inequalities ( Less Than ) First plot the solutions.
  6. 6. <ul><li>Solve </li></ul>Solving Absolute Value Inequalities ( Less Than ) 1. Write: –c ≤ ax + b ≤ c 2. Solve the compound inequality.
  7. 7. Solving Absolute Value Inequalities ( Greater Than ) First plot the solutions.
  8. 8. <ul><li>Solve </li></ul>Solving Absolute Value Inequalities ( Greater Than ) 1. Write: ax + b ≥ c OR ax + b ≤ -c 2. Solve each inequality.
  9. 9. Review Absolute Value Inequalities <ul><li>│ U│ < a ↔ _______________________ </li></ul><ul><li>│ U│ ≥ a ↔ _______________________ </li></ul><ul><li>Examples: </li></ul><ul><li>1. Solve │1 – 6x│ < 7. </li></ul><ul><li>2. Solve –│1 – 2x│ ≤ – 3. </li></ul>
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×