Question 776655
Multiply left and right sides by NEGATIVE 1.
{{{-x+y>-2}}}
Notice that the inequality direction is switched now.


Add +x to the left and right sides.
{{{y>-2+x}}}


Commutative Property of Addition:
{{{highlight(y>x-2)}}}


The line y=x-2 is a boundary for the region and this line is NOT part of the region.  


y is GREATER than -2 on the y axis, which is for x=0.  The slope is 1 for the non-included boundary line, but the slope otherwise does not much affect the region of the inequality.