The boundary line of the graphed inequality has a slope of $\displaystyle-\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$ and a y-intercept of 1 . Because it is dashed, the inequality must be $\displaystyle{y}>-\frac{{1}}{{2}}{x}+{1}\usepackage{cmbright}\Huge\$ or $\displaystyle{y}<-\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}>-\frac{{1}}{{2}}{\left({0}\right)}+{1}\usepackage{cmbright}\Huge\$ or $\displaystyle{2}>{1}\usepackage{cmbright}\Huge\$