I dont know how to graph this!!

Solve everything for 'y' - creating Slope-Intercept form. Graph the lines and then figure out what to shade.
 
#1
x+y<2
y < 2-x
Graph y=2-x
Mark the legit area however you have been told to do it. It will include the point (0,0)

x+y>-1
y > -1-x
Graph y=-1-x
Mark the legit area. It will include (0,0) again.
That is the graph.

Try the same method for #2 yourself.
 
Some trouble with the signs
x-2y >= -2
Add 2y+2 to both sides
x+2 >= 2y
Divide by 2
x/2+1 >= y
Then you are solving for y so reverse everything
y <= x/2+1

x+2y >= 2
Subtract x
2y >= -x+2
Divide by 2
y >= -x/2 + 1
 
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