a) No
b) Yes
1) Let's check algebraically whether (0,0) is the solution set
-2x +3y > 9 Plug into x and y the values of 0,0
-2(0) +3(0) > 9
0 > 9 FALSE! Since 0 can't be greater than 9
1.5x - y ≥ -4 Plug into x and y the values of 0,0
1.5(0) -0 ≥ -4
0 ≥ -4 True
2) Hence, point (0,0) verifies only the second equation.