#### Answer

False

#### Work Step by Step

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.