Question 314045
{{{x-4y >4}}}
{{{-4y>-x+4}}}
{{{y<x/4-1}}}
Graph the line 
{{{y=x/4-1 }}} 
{{{ drawing( 300, 300, -5, 5, -5, 5,circle(0,0,.25), graph( 300, 300, -5, 5, -5, 5, x/4-1)) }}} 
Now pick a point on either side of the line.
If the point solves the inequality, that part of the plane is the solution region.
If not the other part of the plane is the solution region.
You can pick any point (not on the line) to test the inequality.
(0,0) is always an easy choice, if it's available. 
{{{y<x/4-1}}}
{{{0<0/4-1}}}
{{{0<-1}}}
False, so (0,0) is not in the solution region. Shade the other region. 
*[invoke plot_any_inequality "y < x/4-1", -5, 5, -5, 5, 300, 300]