Question 266334
Solve each system of inequalities by graphing: 
2x+y<(less than or equal to) 4
y+1>(greater than or equal to) -2x

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ALWAYS graph the boudary of the inequality first:
Graph y = -2x+4 with a solid line because = is included in your equation.
Then shade the area BELOW the boundary because you want y LESS than -2x+4
{{{graph(400,300,-10,10,-10,10,-2x+4,y<-2x+4)}}}
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Graph y = -2x-1 with a solid line.
Then shade the half-plane ABOVE the boundary because you want y GREATER
than -2x-1
{{{graph(400,300,-10,10,-10,10,-2x-1,y >-2x-1)}}}
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The solution set is the intersection of the two graphs.
{{{graph(400,300,-10,10,-10,10,y>=-2x-1,y<=-2x+4)}}}
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Cheers,
Stan H.