Answer
$(-5,2)$ is a solution of the system.
Work Step by Step
The given system of linear inequalities is.
$\Rightarrow y \lt 4$ ...... (1)
$\Rightarrow y \gt x+3$ ...... (2)
Substitute $-5$ for $x$ and $2$ for $y$ in each inequality.
Inequality (1)
$\Rightarrow y \lt 4$
$\Rightarrow 2 \lt 4$
True.
Inequality (2)
$\Rightarrow y \gt x+3$
$\Rightarrow 2 \gt -5+3$
$\Rightarrow 2 \gt -2$
True.
$(-5,2)$ satisfy each inequality.
Hence, $(-5,2)$ is a solution of the system.
