#### Answer

The ordered pair $(-5,1)$ is a solution, but the ordered pair $(0,2)$ is not a solution.

#### Work Step by Step

We replace $x$ with $0$ and $y$ with $2$ and see if a true statement results.
$x \lt -y$
$(0) \lt -(2)$
$0 \lt -2$ False
The ordered pair $(0,2)$ is not a solution since $0 \lt -2$ is a false statement.
We replace $x$ with $-5$ and $y$ with $1$ and see if a true statement results.
$x \lt -y$
$(-5) \lt -(1)$
$-5 \lt -1$ True
The ordered pair $(-5,1)$ is a solution since $-5 \lt -1$ is a true statement.