SOLUTION: what is the solution set of y< 1/2x+4 y>= -x+1

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Question 253545: what is the solution set of
y< 1/2x+4
y>= -x+1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the solution set of
y< 1/2x+4
Graph the boundary line y = (1/2)x+4 as a dashed line.
Shade the half-plane below the boundary because you want
y to the LESS than the boundary y-values.
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y>= -x+1
Graph the boundary line y = -x+1 as a solid line.
Shade the half-plane above the boundary because you
want y to GREATER then the boundary y-values.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C%281%2F2%29x%2B4%2Cy%3E-x%2B1%2C-x%2B1%29
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The solution for the system is the intersection of the two areas.
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Cheers,
Stan H.