Question 897758
{{{5x + 4y > 10}}}
{{{4y>-5x+10}}}
{{{y>-(5/4)x+5/2}}}
First plot the line, {{{y=-(5/4)x+5/2}}}
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{{{graph(300,300,-10,10,-10,10,-(5/4)x+5/2)}}}
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Now choose a point not on the line and test the inequality.
(0,0) is convenient.
{{{5(0)+4(0)>10}}}
{{{0>10}}}
False, so (0,0) is not in the solution region. Shade the other region.
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{{{graph(300,300,-10,10,-10,10,y>-(5/4)x+5/2)}}}