The boundary line shown has a slope of $\displaystyle\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$ and a y-intercept of 1. Since it is solid, the inequality must be $\displaystyle{y}\ge\frac{{1}}{{2}}{x}+{1}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}\le\frac{{1}}{{2}}{x}+{1}\usepackage{cmbright}\Huge\$ . The ordered pair (0, 2) falls in the shaded region, and is a solution to the first inequality: $\displaystyle{2}\geq\frac{{1}}{{2}}{\left({0}\right)}+{1}\usepackage{cmbright}\Huge\$ or $\displaystyle{2}\geq{1}\usepackage{cmbright}\Huge\$