Graphing Inequalities (coordinate plane)
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Transcript of Graphing Inequalities (coordinate plane)
![Page 1: Graphing Inequalities (coordinate plane)](https://reader036.fdocuments.us/reader036/viewer/2022082916/5495348fb47959d6168b4680/html5/thumbnails/1.jpg)
Graphing Linear Inequalities in Two
Variables•Graph a linear inequality
in two variables
•Model a real life situation with a linear inequality.
![Page 2: Graphing Inequalities (coordinate plane)](https://reader036.fdocuments.us/reader036/viewer/2022082916/5495348fb47959d6168b4680/html5/thumbnails/2.jpg)
Graphing an Inequality in Two Variables
Graph x < 2Step 1: Start by graphing the line x = 2
Now what points would give you less
than 2?
Since it has to be x < 2 we shade everything to
the left of the line.
![Page 3: Graphing Inequalities (coordinate plane)](https://reader036.fdocuments.us/reader036/viewer/2022082916/5495348fb47959d6168b4680/html5/thumbnails/3.jpg)
Graphing a Linear Inequality
Sketch a graph of y 3
![Page 4: Graphing Inequalities (coordinate plane)](https://reader036.fdocuments.us/reader036/viewer/2022082916/5495348fb47959d6168b4680/html5/thumbnails/4.jpg)
Some Helpful Hints
•If the sign is > or < the line is dashed
•If the sign is or the line will be solid
•If the sign > or the shading either goes up or to the right
•If the sign is < or the shading either goes down or to the left
![Page 5: Graphing Inequalities (coordinate plane)](https://reader036.fdocuments.us/reader036/viewer/2022082916/5495348fb47959d6168b4680/html5/thumbnails/5.jpg)
Using What We KnowSketch a graph of x + y < 3
Step 1: Put into slope intercept form
y <-x + 3
Step 2: Graph the line y = -x + 3
![Page 6: Graphing Inequalities (coordinate plane)](https://reader036.fdocuments.us/reader036/viewer/2022082916/5495348fb47959d6168b4680/html5/thumbnails/6.jpg)
When dealing with slanted lines
•If it is > or then you shade above
•If it is < or then you shade below the line