Download presentation

Presentation is loading. Please wait.

Published byJason Curran Modified over 4 years ago

2
Lesson 2-4 Absolute value in open sentence Case1:Case1: |x| = a Case2:Case2: |x| < a Case3:Case3: |x| > a Objective:Objective: Solving absolute value inequality

3
Absolute Value of a number is… Lesson 2-4 Definition of Absolute value The distance of that number from zero. |-3| Read as The distance of -3 from zero |-3| = 3 |+5| Read as The distance of +5 from zero |+5| = 5 01234567-2-3-4-5-6-7 -3 01234567-2-3-4-5-6-7 5

4
Lesson 2-4Case1:Case1: Solve and graph |x| = a |x| = 7 x = 7x = 7x = -7 OR 01234567-2-3-4-5-6-7 7 Graph

5
Lesson 2-4ExampleExample Solve and graph|x + 4| = 5 x + 4 = 5x + 4 = -5 OR -4 x = 1x = -9 01234567-2-3-4-5-6-7-8-9 1 Graph

6
Lesson 2-4ExampleExample Solve and graph|2x - 3| - 11 = - 4 Before start solving, you MUST ISOLATE the absolute value expression on one side |2x - 3| - 11 = - 4 +11 |2x - 3| = 7 2x - 3 = 72x - 3 = -7 OR +3 2x = 102x = - 4 2 x = 5 2 x = -2 01234567-2-3-4-5-6-7-8-9 -25

7
Lesson 2-4Case2:Case2: |x| < a Solve and graph|x| < 6 -6 < x < 6 01234567-2-3-4-5-6-7 6 -6 Graph

8
Lesson 2-4ExampleExample Solve and graph|x + 4| 2 -2 x + 4 2 Graph -4 -6 x -2 01234567-2-3-4-5-6-7 -2 -6

9
Lesson 2-4ExampleExample Solve and graph|x - 1| -5 < - 4 -1 < x – 1 < 1 +1 0 < x < 2 01234567-2-3-4-5-6-7 2 0 Before start solving, you MUST ISOLATE the absolute value expression on one side |x - 1| -5 < - 4 +5 |x - 1| < 1

10
Lesson 2-4Case2:Case2: |x| > a Solve and graph|x| > 2 x > 6x > 6 01234567-2-3-4-5-6-7 6 -6 Graph x < - 6x < - 6 OR

11
Lesson 2-4ExampleExample Solve and graph|x – 3| 1 x – 3 1 01234567-2-3-4-5-6-7 4 2 Graph x – 3 - 1 OR +3 x 4 +3 x 2

12
Lesson 2-4ExampleExample Solve and graph|x + 3| + 2 > 5 Before start solving, you MUST ISOLATE the absolute value expression on one side |x + 3| + 2 > 5 -2 |x + 3| > 3 x + 3 > 3 01234567-2-3-4-5-6-7 0 -6 x + 3 < - 3 OR -3 x > 0 -3 x < -6

Similar presentations

Presentation is loading. Please wait....

OK

Absolute Value Inequality

Absolute Value Inequality

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on social media and nurses Ppt on non material heritage of india Ppt on ozone layer and greenhouse effect Ppt on statistics and probability tutorial Ppt on four factors of production Ppt on non renewable sources of energy Ppt on precautions of tsunami wave Ppt on traction rolling stock trains Ppt on power sharing in democracy the will of the majority Ppt on unknown facts about india