SOLUTION: Graph the solution set. y is less than or equal to x-3 y is less than or equal to -x+5

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Question 328219: Graph the solution set.
y is less than or equal to x-3
y is less than or equal to -x+5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First, graph y=x-3.
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx-3%29
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Choose a point not on the line.
(0,0) is always a good choice, if available.
Test the inequality
0%3C=-3
False.
If the inequality is satisfied, the point is in the solution region.
Shade that region.
Otherwise, shade the other region.
In this case, shade the region that doesn't include (0,0).
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C=x-3:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C=x-3+%29

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First graph y=-x%2B5.
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.
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B5%29
.
.
.
Choose a point not on the line.
(0,0) is always a good choice, if available.
Test the inequality
0%3C=5
True.
If the inequality is satisfied, the point is in the solution region.
Shade that region.
Otherwise, shade the other region.
In this case, shade the region that includes (0,0).
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C=-x%2B5:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C=-x%2B5+%29