You may have correctly solved for j in each inequality, but may not have noticed the word or in this answer choice. The solution is $\displaystyle{j}\le{6}\usepackage{cmbright}\Huge\$ and $\displaystyle{j}>{10}\usepackage{cmbright}\Huge\$ . Since the graphs of $\displaystyle{j}\le{6}\usepackage{cmbright}\Huge\$ and $\displaystyle{j}>{10}\usepackage{cmbright}\Huge\$ have no overlap, the correct answer is: There is no solution.