Answer
See Graph I
Work Step by Step
For $2x - 3y \gt -6$
Consider the origin (0, 0), residing in the blue area, with respect to line $2x - 3y = -6$. The inequality holds since $(2)(0) - (3)(0) \gt -6$.
Therefore, the right blue area excluding the dotted line $'2x - 3y = -6'$ represents $2x - 3y \gt -6$
See Graph I