## College Algebra (6th Edition)

The first inequality has a strict inequality sign, "$<$". This means that the line $x-3y=6$ is NOT a part of the solution set of the system, and will be graphed with a dashed line. The intersection belongs to both lines, so it belongs to the line $x-3y=6$, therefore, it can not be a part of the solution set. The statement is false.