#### Answer

The system of inequalities obtained are $x\ge -2\text{ and }y>-1$.

#### Work Step by Step

We know that the solid line in the graph is a vertical line parallel to the y-axis passing through a point $\left( -2,0 \right)$ which represents the inequality as given below:
$x\ge -2$
And, the second dotted line in the graph is a horizontal line parallel to the x-axis passing through a point $\left( 0,-1 \right)$ which represents the inequality as given below:
$y>-1$
Thus, the obtained system of inequalities are $x\ge -2\text{ and }y>-1$.