Given the inequality,
3y + 12 < 6x;
[tex]\begin{gathered} Express\text{ the inequality in slope-intercept form,} \\ 3y<6x-12 \\ \text{Divide both sides by 3} \\ y<\frac{6x-12}{3} \\ y<\frac{6x}{3}-\frac{12}{3} \\ y<2x-4 \end{gathered}[/tex]The graph is now shown as
Observe that there are several points that provides a solution to this inequality.
One solution is (4, 2)