Question 164314
{{{x+5y>5}}}
{{{5y>-x+5}}}
{{{y>-x/5+1}}}
{{{ graph( 300, 300, -5, 5, -5, 5, -x/5+1) }}} 
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So far, so good.
OK, picking the point. 
I always choose (0,0), if possible.
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Go back to your inequality.
If (0,0) is in the solution region, the inequality will be true.
If (0,0) is not in the solution region, the inequality will be false.
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{{{y>-x/5+1}}}
{{{0>-0/5+1}}}
{{{0>1}}}
False, so (0,0) is not in the region.
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Since (0,0) is below the line, the region above the line is the correct region.
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{{{drawing( 300, 300, -5, 5, -5, 5,grid( 1 ),circle( 0, 0, .2 ),
green(line( -5, 2.5, 5, 0.5)), 
green(line( -5, 3, 5, 1)), 
green(line( -5, 3.5, 5, 1.5)), 
green(line( -5, 4, 5, 2)), 
green(line( -5, 4.5, 5, 2.5)),
green(line( -5, 5, 5, 3)), 
green(line( -5, 5.5, 5, 3.5)), 
green(line( -5, 6, 5, 4)), 
green(line( -5, 6.5, 5, 4.5)), 
graph( 300, 300, -5, 5, -5, 5, -x/5+1)) }}}