Question 253545
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(400,300,-10,10,-10,10,y<(1/2)x+4,y>-x+1,-x+1)}}}
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The solution for the system is the intersection of the two areas.
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Cheers,
Stan H.