Hard to believe your text does not show any sample graphs.
Generally when graphing an inequality, just plot the line, then pick the area on one side of the line.
In this case,
2x+y > -3
y > -2x-3
so, draw the line y=-2x-3, and pick the area above the line, where y > -2x-3
Now, as for solutions, there is no single solution here. Pick any value for x. Any value > (-2x-3) is a valid value for y.
For example, if x = -5, y>7 gives the solutions for y
If y=11, x> -7 will be the solutions for x