Answer
No solution.
Work Step by Step
Using the test point \[\left( 0,0 \right)\] for each inequality.
\[3x+y<9\], includes origin.
\[3x+y>9\], doesn’t include origin.
The line \[3x+y=9\] is not included in both inequalities, it is a dashed line. Since, there is no intersection between the inequalities, there is no solution.