Question 78187
Start with

{{{y+x=3}}}


{{{y=3-x}}} Solve for y


Now graph the equation {{{y=3-x}}}

{{{ graph( 300, 200, -6, 5, -10, 10, 3-x) }}}

Now pick a test point (0,0) and evaluate it with {{{y+x>3}}}


{{{0+0>3}}} Plug in x=0, y=0
{{{0>3}}} Since this isn't true, we don't shade the region containing (0,0). So we shade everything above the graph.