[tex]\dfrac{5}{6}<\dfrac{w}{8}\Rightarrow\dfrac{w}{8}>\dfrac{5}{6}\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup\cdot\dfrac{w}{8\!\!\!\!\diagup}>8\!\!\!\!\diagup^4\cdot\dfrac{5}{6\!\!\!\!\diagup_3}\\\\w>\dfrac{20}{3}\\\\w>6\dfrac{2}{3}\\\\7>6\dfrac{2}{3}[/tex]
