1 / 15

Solving Absolute Value Equations and Inequalities

Solving Absolute Value Equations and Inequalities. By Ellie Silverman. Solving Absolute Value Equations. 2 x + 3 = 7. 2 x + 3 = 7. These are absolute value signs. This equation means the absolute value of 2x+3 is 7.

jenis
Télécharger la présentation

Solving Absolute Value Equations and 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. Solving Absolute Value Equations and Inequalities By Ellie Silverman

  2. Solving Absolute Value Equations 2x + 3 = 7

  3. 2x + 3 = 7 These are absolute value signs This equation means the absolute value of 2x+3 is 7. Absolute value is a number’s distance from zero. For example, the absolute value of 4 is 4 and the absolute value of -4 is 4 because they are both four ‘spots’ away from zero. 4 1 2 3 4 1 2 3 -4 -3 -2 -1 0 1 2 3 4

  4. 2x + 3 = 7 To solve this equation you have to get rid of the absolute value signs. To do this you have to set 2x+3 equal to 7 and -7. 2x + 3 = 7 2x + 3 = -7

  5. Now that you set 2x+3 equal to 7 and -7, you solve. 2x + 3 = 7 2x + 3 = -7 -3 -3 -3 -3 2x = 4 2x = -10 2 2 2 2 x = -5 x = 2

  6. Solving Absolute Value Inequalities 2x + 3 < 7 2x + 3 > 7 2x + 3 ≤ 7 2x + 3 ≥ 7

  7. Some things to remember when solving inequalities: * Always remember to flip the sign if you divide by a negative * Less than means you put and between your solutions and shade between them on the number line * Greater means you put or between your solutions and shade outwards on the number line • * < or > = open dot on number line * ≤ or ≥ = closed dot on number line

  8. Less thand 2x + 3 < 7 To solve this inequality you have to get rid of the absolute value signs. To do this you have to set 2x+3 less than 7 and greater than -7 2x + 3 < 7 2x + 3 > -7 and

  9. Now that you set 2x+3 less than 7 and -7, you solve. 2x + 3 < 7 2x + 3 > -7 and -3 -3 -3 -3 2x < 4 2x > -10 2 2 2 2 x < 2 x > -5

  10. Now it’s time to graph your solutions! X < 2 AND X > -5 -6 -4 -3 -2 -1 0 1 -5 2 3 4 5 If the answer looked like this: X ≤ 2 AND X ≥ -5 Then the circles on the graph would be closed

  11. greator 2x + 3 > 7 To solve this inequality you have to get rid of the absolute value signs. To do this you have to set 2x+3 greater than 7 and less than -7 2x + 3 > 7 2x + 3 < -7 or

  12. Now that you set 2x+3 greater than 7 and less than -7, you solve. 2x + 3 > 7 2x + 3 < -7 and -3 -3 -3 -3 2x > 4 2x < -10 2 2 2 2 x > 2 x < -5

  13. Now it’s time to graph your solutions! X > 2 OR x < -5 -6 -4 -3 -2 -1 0 1 -5 2 3 4 5 If the answer looked like this: X ≥ 2 OR x ≤ -5 Then the circles on the graph would be closed

  14. More Practice Solve and graph each inequality: 1.) 8b + 9 < 63 5.) -7r ≤ 7 6.) 8b + 9 < 63 2.) 4 + 5x > 24 3.) 5 - 8x < 43 7.) -5p ≥ 20 4.) -8x - 10 < 58 3.) 1 + x < 8

  15. Just a Funny Math Video http://www.youtube.com/watch?v=6cAs1YBELmA

More Related