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6.1.notebook
January 21, 2016
Lesson 6.1 Solving and Graphing Inequalities
Essential Question: How do you solve and graph inequalities? Feb 3­8:50 PM
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January 21, 2016
Verbal Phrase Inequality All real numbers greater than ­2
x > ­2
All real numbers less than 2
All real numbers less than or equal to 1
All real numbers greater than or equal to zero
Graph ­2 < x
x < 2
2 > x
x < 1
1 > x
x > 0
0 <x
Feb 3­8:28 PM
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6.1.notebook
January 21, 2016
Example 1 :
Write and Solve a Linear Inequality Sue ran a 2- kilometer race in 8 minutes. Write an
inequality to describe the average speeds of
runners who were faster than Sue.
Feb 3­8:51 PM
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January 21, 2016
Example 2: Using Subtraction to Solve
an Inequality
x+5>3
Feb 3­8:56 PM
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January 21, 2016
Checkpoint
x+5<4
-3 > y + 2
Feb 3­8:59 PM
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January 21, 2016
Example 3: Using Addition to Solve
an Inequality
-2 > n - 4
Feb 3­9:03 PM
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January 21, 2016
Checkpoint
-2 + x < 0
x-3>2
Feb 3­9:04 PM
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January 21, 2016
Example 4: Using Multiplication to
Solve an Inequality
Feb 3­9:07 PM
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January 21, 2016
Checkpoint
Feb 3­9:17 PM
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January 21, 2016
Using Division to Solve Inequalities
-4.2 m > 6.3
5x > - 25
Feb 3­9:11 PM
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January 21, 2016
Checkpoint
15p < 60
-10 a > 100
Feb 3­9:22 PM
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