Answer
See Graph I
Work Step by Step
For $6x + y \gt −1$
Consider the origin (0, 0), residing in the blue area, with respect to line $6x + y = −1$. The inequality holds since $(6)(0)+(0) \gt −1$.
Therefore, the right blue area excluding the dotted line $′6x + y = −1′$ represents $6x + y \gt −1$.
See Graph I
