Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one...
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Transcript of Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one...
![Page 1: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/1.jpg)
Inequalities and their GraphsInequalities and their Graphs
5x 5x763 542 8
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Inequalities and their Inequalities and their GraphsGraphs
Objective: To write and graph simple inequalities with one variable
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Inequalities and their GraphsInequalities and their Graphs
763 542 8
What is a good definition for Inequality?
An inequality is a statement that two expressions are not equal
![Page 4: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/4.jpg)
Inequalities and their GraphsInequalities and their Graphs
Terms you see and need to know to graph inequalities correctly
Notice
open circles
< less than
> greater than
![Page 5: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/5.jpg)
Inequalities and their GraphsInequalities and their Graphs
Terms you see and need to know to graph inequalities correctly
Notice colored in circles
≤ less than or equal to
≥ greater than or equal to
![Page 6: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/6.jpg)
Inequalities and their GraphsInequalities and their Graphs
Let’s work a few together
3x3
Notice: when variable is on left side, sign shows direction of solution
![Page 7: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/7.jpg)
Inequalities and their GraphsInequalities and their Graphs
Let’s work a few together
7
Notice: when variable is on left side, sign shows direction of solution7x
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Inequalities and their GraphsInequalities and their Graphs
Let’s work a few together
-2
Notice: when variable is on left side, sign shows direction of solution
2pColor in circle
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Inequalities and their GraphsInequalities and their Graphs
Let’s work a few together
8
Notice: when variable is on left side, sign shows direction of solution8x
![Page 10: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/10.jpg)
Try this one on your ownTry this one on your own
12x
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On your OwnOn your Own
12s
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On your OwnOn your Own
2m
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Answer 1 through 5Answer 1 through 5
6b 1.
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On your OwnOn your Own
10x 2.
![Page 15: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/15.jpg)
On your OwnOn your Own
15p 3.
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On your OwnOn your Own
25g 4.
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On your OwnOn your Own
13x 5.
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Answer 6 through 10Answer 6 through 10
6.
b ≤ -7
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7.
a > 8
On your OwnOn your Own
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8.
q ≥ -5
On your OwnOn your Own
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9.
s < 14
On your OwnOn your Own
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10.
m ≥ 8
On your OwnOn your Own
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Graphing Inequalities
Excellent Job !!! Well Done
![Page 24: Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.](https://reader035.fdocuments.us/reader035/viewer/2022062804/5697bf791a28abf838c82807/html5/thumbnails/24.jpg)
Solving One-Step Solving One-Step InequalitiesInequalities
763 542 8
127 x 127 x
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Objective: To solve one-step inequalities using
properties for inequalities
Solving One-Step Solving One-Step InequalitiesInequalities
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Solving One-Step Solving One-Step InequalitiesInequalities
What are the Properties for Inequalities?
Are they the same as for regular equations?
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Solving One-Step Solving One-Step InequalitiesInequalities
76 x 1
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Solving One-Step Solving One-Step InequalitiesInequalities
53 x 2
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Solving One-Step Solving One-Step InequalitiesInequalities
153 x 3
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Solving One-Step Solving One-Step InequalitiesInequalities
59 x 4
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Solving One-Step Solving One-Step InequalitiesInequalities
32
1x
5
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Solving One-Step Solving One-Step InequalitiesInequalities
73
x 6
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Solving One-Step Solving One-Step InequalitiesInequalities
75 x 7
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Solving One-Step Solving One-Step InequalitiesInequalities
53
x 8
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Solving One-Step Inequalities
Excellent Job !!! Well Done