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Solve for x. 1.  2.  3. Solve for x. 1.  2.  3.

Solve for x. 1. 2. 3. - PowerPoint Presentation

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Solve for x. 1. 2. 3. - PPT Presentation

  Warm up 7 1 3x 1 8 or 3x 1 8 1 1 1 1 3x 7 3x 9 3 3 3 3 x or x 3   Warm up 7 Solutions 2 2 2 ID: 777676

solve absolute inequalities find absolute solve find inequalities inequality write amp average

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Presentation Transcript

Slide1

Solve for x.1. 2. 3.

 

Warm – up #7

Slide2

1. 3x + 1 = 8 or 3x + 1 = - 8 -1 -1 - 1 -1 3x = 7 3x = -9 3 3 3 3 x = or x = -3 

Warm – up #7 Solutions

Slide3

2. +2 +2 3 3 x = 2 or x = -2

 Warm – up #7

Solutions

Slide4

3. -2 -2 No Solution Warm – up #7 Solutions

Slide5

Lesson 1 – 6 Absolute Value Inequalities Day 2Algebra II

Slide6

To write & solve inequalities involving absolute valueLearning Objective

Slide7

Less Th”AND” x < 5 AND x > -5Great”OR” x > 5 OR x < -5

 

Flip Inequality

& Change Sign!

Slide8

1. Less ThAND2x – 1 < 5 and 2x – 1 > - 5 +1 +1 +1 +12x < 6 2x > -4 2 2 2 2x < 6 and x > -2 -2 < x < 6 Solve Absolute Value Inequalities

Slide9

2. Less ThAND3x - 4 8 and 3x – 4 -8 +4 +4 +4 +43x

12 3x

-4

3

3 3 3

x

4 and x

x

4

 

Solve Absolute Value Inequalities

Slide10

3. GreatOR2x + 4 6 or 2x + 4 -6 - 4 - 4 - 4 -42x

2 2x -10

2 2 2 2

x

1

or x

-5

 

Solve Absolute Value Inequalities

Slide11

4. GreatOR5x + 10 > 25 or 5x + 10 < -25 - 10 -10 -10 -105x > 15 5x < -35 5 5 5 5 x > 3 or x < -7 

Solve Absolute Value Inequalities

Slide12

5. -4 All Real NumbersAbsolute Value is always positive & will ALWAYS be greater than a negative number!!  Solve Absolute Value Inequalities

Slide13

6. No SolutionAbsolute Value is always positive & will NEVER be less than a negative number!! Solve Absolute Value Inequalities

Slide14

7. * Know it’s Great“or” > * Find average of endpoints

*Find how far endpts are from avg

:

6

 

Write an absolute value inequality

Slide15

8. * Know it’s LessAnd or Equal to * Find average of endpoints

*Find how far endpts are from avg: 10

10

 

Write an absolute value inequality

Slide16

9. * Know it’s Great“or” or equal to * Find average of endpoints

*Find how far endpts are from avg: 8

 

Write an absolute value inequality

Slide17

10. * Know it’s LessAnd * Find average of endpoints

*Find how far endpts are from avg: 3

 

Write an absolute value inequality

Slide18

Your friend show the problem as shown. Describe and correct the error.Ticket Out the Door

Slide19

Assignment:Absolute Value Inequality WS