You may not have checked to see if an ordered pair from the shaded region made this inequality true. If you substitute (0, 2) into this inequality, you get $\displaystyle{2}<-\frac{{1}}{{2}}{\left({0}\right)}+{1}\usepackage{cmbright}\Huge\$ , or $\displaystyle{2}<{1}\usepackage{cmbright}\Huge\$ . This statement is false, so this is not the inequality that is graphed.