Question 258159
Graph the inequality y is less than 2x + 2
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1st: Graph the boundary, which is y = 2x+2, as a dashed line.
{{{graph(400,300,-10,10,-10,10,2x+2)}}}
2nd: Shade the half-plane BELOW the boundary because you
want y to be LESS than 2x+2.
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{{{graph(400,300,-10,10,-10,10,y<2x+2)}}}
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Graph the inequality 2x is less than 3y + 6
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1st Solve for "y"
2x < 3y+6
3y > -2x - 6
y > (-2/3)x - 2
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2nd: Graph the boundary, which is y = (-2/3)x-2, as a dashed line.
{{{graph(400,300,-10,10,-10,10,(-2/3)x-2)}}}
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3rd: Shade the half-plane ABOVE the boundary because you 
want y to be GREATER than the boundary y-values.
{{{graph(400,300,-10,10,-10,10,y>(-2/3)x-2)}}}
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Cheers,
Stan H.