Answer
(-1,5) is not a solution of the system.
Work Step by Step
The given system of linear inequalities is.
$\Rightarrow y\lt5$ ...... (1)
$\Rightarrow y\gt x-4$ ...... (2)
Substitute $-1$ for $x$ and $5$ for $y$ in each inequality.
Inequality (1)
$\Rightarrow y\lt5$
$\Rightarrow 5\lt5$
False.
Inequality (2)
$\Rightarrow y\gt x-4$
$\Rightarrow 5\gt -1-4$
$\Rightarrow 5\gt -5$
True.
$(-1,5)$ does not satisfy each inequality.
Hence, $(-1,5)$ is not a solution of the system.
