x>1 y<-2 solve and graph

Answer 1

are you graphing on the x-y plane?

draw a dotted vertical line at x=1 and shade in the region to the right of that.

draw a dotted horizontal line at y = -2 and shade in the region below that line.

Here is what you did not state:
is it
x>1 AND y<-2 or is it
x>1 OR y<-2 ?

If you want AND it would be the overlapping shaded region

If you want OR it would be entire shaded region covered by either part.

Answer 2

You would draw a dot going over 1 on the x-axis and go down 2 on the y-axis. Make a dotted line then put 0,0 in fo y and x. If it's true shade over the part where (0,0) is located, if it's false shade on the opposite side.