SOLUTION: Solve the system of linear inequalities using the graphing method. -x+y<-1 x+y>=1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve the system of linear inequalities using the graphing method. -x+y<-1 x+y>=1      Log On


   

Question 388595: Solve the system of linear inequalities using the graphing method.
-x+y<-1
x+y>=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the line -x%2By=-1
y=x-1
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx-1%29
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Solved by pluggable solver: Plot Any Inequality
Graphing function -x%2By%3C-1:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2By%3C-1+%29

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Similarly, plot the line x%2By=1
y=-x%2B1
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B1%29
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Solved by pluggable solver: Plot Any Inequality
Graphing function x%2By%3E=1:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%2By%3E=1+%29

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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx-1%2C-x%2B1%29
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Comparing the regions with the graphs plotted together, you would shade the region between the lines to the right of x=1.
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