Answer
Please see the graph.
Work Step by Step
Red line: $y\ge 1$
Blue line: $x\lt -3$
Let's use the point $(0,0)$ to determine what sides of the lines to shade.
Red line: $y\ge 1$
$0\ge 1$ (false)
This is false, so we shade the side of the line that doesn't have the point. The inequality has the "greater than or equal" sign, so we use a solid line.
Blue line: $x\lt -3$
$x\lt -3$
$0 \lt -3$ (false)
This is false, so we shade the side of the line that does have the point. The inequality has the "less than" sign, so we use a dotted line.
The solution area for the system on inequalities is the area that is shaded both blue and red.
