SOLUTION: Good Morning, Can someone show me how to solve and graph the following system of inequalities: y<-1/2x +2 x-y <= 4 (the second line is x-4 is less than or equ

Algebra ->  Graphs -> SOLUTION: Good Morning, Can someone show me how to solve and graph the following system of inequalities: y<-1/2x +2 x-y <= 4 (the second line is x-4 is less than or equ      Log On


   



Question 555591: Good Morning,
Can someone show me how to solve and graph the following system of inequalities:
y<-1/2x +2
x-y <= 4
(the second line is x-4 is less than or equal to 4)
Hope to hear from someone soon.
Sincerely,
T.H.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve and graph the following system of inequalities:
y<-1/2x +2
Graph the line y = (-1/2)x+2 as a dashed line.
Shade the half-plane below that boundary line.
---------------------------------
x-y <= 4
Solve for "y":
y >= x-4
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Graph the line y = x-4
Shade the half-plane above that boundary line.
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The solution set is the intersection of those 2 graphs.
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3C+%28-1%2F2%29x%2B2%2C+y+%3E+x-4%29
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cheers,
Stan H.