solve the system of inequalities by graphing.$y < -2$$x < 6$select a line to change it between solid and…

Explanation:

Step1: Graph $y < -2$

Draw a dotted horizontal line at $y=-2$ (since the inequality is strict, not $\leq$). Shade all area below this line, as $y$ values must be less than -2.

Step2: Graph $x < 6$

Draw a dotted vertical line at $x=6$ (strict inequality, not $\leq$). Shade all area to the left of this line, as $x$ values must be less than 6.

Step3: Identify overlapping region

The solution is the area that is shaded by both inequalities: the region that is below $y=-2$ and to the left of $x=6$.

Answer:

The solution is the overlapping shaded region: all points $(x,y)$ where $x < 6$ and $y < -2$, bounded by the dotted lines $x=6$ (vertical) and $y=-2$ (horizontal).