Question 363524
{{{-5x+2y>10}}}
{{{2y>5x+10}}}
{{{y>(5/2)x+5}}}
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Plot the line {{{y=(5/2)x+5}}}
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{{{graph(300,300,-10,10,-10,10,(5/2)x+5)}}}
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Now choose a test point in either plane, not on the line.
({{{0}}},{{{0}}}) is a good choice.
Test the inequality.
If the inequality is satisfied, shade the region containing ({{{0}}},{{{0}}}).
If not, shade the other region.
{{{-5x+2y>10}}}
{{{-5(0)+2(0)>10}}}
{{{0>10}}} 
False, shade the region not containing ({{{0}}},{{{0}}})
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*[invoke plot_any_inequality "-5x+2y>10", -10, 10, -10, 10, 300, 300]