## Precalculus (6th Edition) Blitzer

The given statement is False. The correct statement is: the graph of $2x-3y>6$ does not include the line $2x-3y=6$.
We have to plot the graph of the inequality $2x-3y>6$, by replacing the inequality symbol by the equals symbol. $2x-3y=6$ gives the true solution of all of those $\left( x,y \right)$ for which $2x-3y$ is equal to $6$. The inequality $2x-3y>6$ gives the true solution of all of those $\left( x,y \right)$ for which $2x-3y$ is greater than $6$, since $2x-3y>6$ does not contain the equal sign. Hence, $2x-3y=6$ is not included in the solution of $2x-3y>6$.