Question 150096
"Sketch the graph the feasible region" 
x+y is greater than or equal to 7 
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x+y >= 7
Solve for "y":
y >= -x + 7
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Graph the equality, y = -x + 7:
If x = 0, y = 7
If x = 1, y = 6
Plot the two points, (0,7) and (1,6) and draw a line thru them:
{{{graph(400,300,-10,10,-10,10,-x+7)}}}
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Since you also want the points where y is greater than -x+7, 
shade the half-plane above the equality line.
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The line and the half-plane make up the graph you want.
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Cheers,
Stan H.