Correct. Graph $\displaystyle{y}={x}\usepackage{cmbright}\Huge\$ . Test an ordered pair on either side of the boundary line.

For (0, 1): $\displaystyle{1}\le{0}\usepackage{cmbright}\Huge\$ FALSE; For $\displaystyle{\left({0},-{1}\right)}\usepackage{cmbright}\Huge\$ : $\displaystyle-{1}\le{0}\usepackage{cmbright}\Huge\$ TRUE

The region that includes $\displaystyle{\left({0},-{1}\right)}\usepackage{cmbright}\Huge\$ is shaded. This includes only parts of Quadrants I and III, but all of Quadrant IV.