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Day 11 Solving Inequalities Notes.notebook 1 October 28, 2019 10/28/19 Module 4 Day 11 Solving Inequalities (Pages 1921) Learning Targets: 1. Solve inequalities with one variable 2. Graph inequalities with one variable

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Page 1: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

1

October 28, 2019

10/28/19 Module 4Day 11 ­ Solving Inequalities (Pages 19­21)

Learning Targets:1. Solve inequalities with one

variable2. Graph inequalities with one

variable

Page 2: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

2

October 28, 2019

What is an Inequality? p. 19

An inequality is a statement that compares two quantities. The quantities being compared use one of the following signs:

Page 3: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Translating Inequalities into Words

Page 4: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

4

October 28, 2019

Graphing Inequalities

Page 5: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Solutions to Inequalities

Page 6: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Special Rule with Inequalities

Page 7: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

variable

X 7

inequality symbol

constant

If you have to"flip flop" the sides of the inequality,you mustalso "flip flop"the inequality symbol! 

11 isgreater than b11 > b

   means 

b is less than 11b < 11

Page 8: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Whenever you MULTIPLY or DIVIDE both sides of an inequality by a NEGATIVE NUMBER, youmust flip the inequality symbol.

Get the variable by itself on one side of the inequality symbol.

Check the order! Variable-Symbol-Constant.

Circle the number on the number line.

Open circle or closed circle?Shade appropriately

     ­3    ­2    ­1      0     1    2     3

Page 9: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

9

October 28, 2019

Practice I do

Page 10: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Practice We do

Page 11: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

11

October 28, 2019

Practice You do!

Page 12: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

12

October 28, 2019

Practice You do!

Page 13: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

13

October 28, 2019

Practice You do!

Page 14: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Practice You do!

Page 15: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Class Practice 10/28/19

(20 mins)

Page 16: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019

Page 17: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

17

October 28, 2019

Page 18: Day 11- Solving Inequalities Notes.notebook · 2019-10-28 · Day 11 Solving Inequalities Notes.notebook 8 October 28, 2019 Whenever you MULTIPLY or DIVIDE both sides of an inequality

Day 11­ Solving Inequalities Notes.notebook

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October 28, 2019