You can
put this solution on YOUR website!Solve by graphing
2x-3y>=-3 and 3y>-2x-6:
;
We need these equations in the general y= form to plot the graphs.
1st equation:
2x - 3y >= -3
-3y >= -2x - 3
y has to be positive, multiply equation by -1, then we have to reverse the inequality sign
3y <= 2x + 3
Divide equation by 3 and we have
y <=

x + 1; purple line
;
2nd equation:
3y > -2x - 6
Divide equation by 3 and we have:
y > -

x - 2; green line
:
Plot both these equations: find y for x=-3 and x=+3
Should look like this

:
The solution area is above (>) the green line and at or below (=<) the purple line
:
The point of intersection is close to what you said. I get -2.25, -.5, but I
think they are asking for the solution area or "area of feasibility" when
they say solve inequalities like this.