Question

1. (2, -2); \

$$\begin{cases} y < x - 3 \\\\ y > -x + 1 \\end{cases}$$

Explanation:

Step1: Substitute into first inequality

Substitute $x=2$, $y=-2$ into $y < x-3$:
$-2 < 2 - 3$
$-2 < -1$

Step2: Substitute into second inequality

Substitute $x=2$, $y=-2$ into $y > -x+1$:
$-2 > -2 + 1$
$-2 > -1$

Step3: Check inequality validity

The first inequality is true, but the second is false. A point must satisfy all inequalities in a system to be a solution.

Answer:

The point $(2, -2)$ is not a solution to the given system of inequalities.