Answer
Infinitely many solutions
Work Step by Step
Using the test point \[\left( 0,0 \right)\] for each inequality.
\[6x-y\le 24\], includes origin and solid line \[6x-y=24\].
\[6x-y\ge 24\], doesn’t include origin and includes solid line \[6x-y=24\].
The line \[6x-y=24\] is included in both inequalities. So, there are infinitely many solutions for the system.
