Question 101115
5(2x + y) - 4(2x + y) _>_ 4 
10x+5y-8x-4y >=4
2x+y >= 4
y >= -2x+4
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Graph the boundary line: y = -2x+4
{{{graph(400,300,-10,10,-10,10,-2x+4)}}}
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To find the solution for the inequality
pick a test point that is not on the 
boundary, like (0,0).
Test the x, y values in the inequality:
0 > -2*0 + 4
0 > 0+4
False 
Therefore the solution half-plane is the one 
on the other side of the boundary line: darken
that side.  The solution is the boundary and 
the darkened half-plane.
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{{{graph(400,300,-10,10,-10,15,-2x+4,-2x+5,-2x+6,-2x+7)}}}
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Cheers,
Stan H.