```Question 91363
In order to graph {{{y>1}}}, we need to graph the <b>equation</b> {{{y=1}}} (just replace the inequality sign with an equal sign).
So lets graph the line {{{y=1}}} (simply draw a horizontal line through {{{y=1}}})

{{{ graph( 500, 500, -20, 20, -20, 20, 1) }}} graph of {{{y=1}}}

Now lets pick a test point, say (0,0). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality {{{y>1}}} with the test point

Substitute (0,0) into the inequality

{{{(0)>1}}} Plug in {{{x=0}}} and {{{y=0}}}

{{{0>1}}} Simplify

Since this inequality is <font size=4><b>not</b></font> true, we do <font size=4><b>not</b></font> shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line

{{{drawing( 500, 500, -20, 20, -20, 20,
graph(  500, 500, -20, 20, -20, 20,1,1+1.5),
graph(  500, 500, -20, 20, -20, 20,1,1+3),
graph(  500, 500, -20, 20, -20, 20,1,1+4.5),
graph(  500, 500, -20, 20, -20, 20,1,1+6),
graph(  500, 500, -20, 20, -20, 20,1,1+7.5),
graph(  500, 500, -20, 20, -20, 20,1,1+9),
graph(  500, 500, -20, 20, -20, 20,1,1+10.5),
graph(  500, 500, -20, 20, -20, 20,1,1+12),
graph(  500, 500, -20, 20, -20, 20,1,1+13.5),
graph(  500, 500, -20, 20, -20, 20,1,1+15),
graph(  500, 500, -20, 20, -20, 20,1,1+16.5),
graph(  500, 500, -20, 20, -20, 20,1,1+18),
graph(  500, 500, -20, 20, -20, 20,1,1+19.5),
graph(  500, 500, -20, 20, -20, 20,1,1+21),
graph(  500, 500, -20, 20, -20, 20,1,1+22.5),
graph(  500, 500, -20, 20, -20, 20,1,1+24))}}} Graph of {{{y>1}}} with the boundary (which is the line {{{y=1}}} in red) and the shaded region (in green)
(note: since the inequality contains a greater-than sign, this means the boundary is excluded. This means the solid red line is really a dashed line)
```