Incorrect. The difference between the guess $\displaystyle{\left({g}\right)}\usepackage{cmbright}\Huge\$ and the actual weight (172) needs to be less than 5 for the owner to win. Since the guess could be greater than or less than 172, the absolute value symbol needs to be used around the difference in the problem. Does the order of the difference inside the absolute value matter? Which way should the inequality sign point?