First, to the author of this piece of instruction. A system of equations would give multiple curves which intersect, as depicted here by a pair of crossing lines. But presumably here the solution space is intended to be the green area. That makes this a system of inequalities, not of equations. Fix it please, you're confusing the children.
We check each point to see if it's in the green space.
a) (2,2) CHECK
b) (0,4) nope
c) (6,1) CHECK
d) (1,6) nope
e) (-2,8) nope