Solve the given inequality graphically in a two-dimensional plane: $3y - 5x < 30$

(N/A) The graphical representation of the line $3y - 5x = 30$ is drawn as a dotted line because the inequality is strict $( < )$.
This line divides the $xy$-plane into two half-planes.
To determine the solution region,we test a point not on the line,such as the origin $(0, 0)$.
Substituting $(0, 0)$ into the inequality:
$3(0) - 5(0) < 30$
$0 < 30$
Since $0 < 30$ is a true statement,the half-plane containing the origin $(0, 0)$ is the solution region.
Thus,the solution region is the half-plane containing the origin,excluding the line $3y - 5x = 30$ itself.