Question 698466
solve 
5x + 3y > -6
Solve for "y":
y > (-5/3)x - 2 
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Graph the boundry line as a dashed line:
y = (-5/3)x - 2
Shade the half-plane ABOVE the boundary because you want 
y to be greater than (-5/3)x-2:::
{{{graph(400,400,-10,10,-10,10,(-5/3)x-2)}}}
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and 2y + x < 6
y < (-1/2)x + 3
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Boundary y = (-1/2)x + 3
Shade the half-plance BELOW te boundary:
{{{graph(400,400,-10,10,-10,10,(-1/2)x+3)}}}
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The intersection of the two half-planes is the solution
set for the system on inequalities.
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Cheers,
Stan H.