Elementary Algebra

(-$\frac{1}{2}$) ($\frac{4}{9}$) $\gt$ ($\frac{3}{5}$) (-$\frac{1}{3}$) To check whether this inequality is true or false, we simplify it. (-$\frac{1}{2}$) $\times$ ($\frac{4}{9}$) $\gt$ ($\frac{3}{5}$) $\times$ (-$\frac{1}{3}$) $\frac{-4}{18}$ $\gt$ $\frac{-3}{15}$ $\frac{-4}{18}$ $\gt$ $\frac{-1}{5}$ We need to make the denominators the same in order to simplify this inequality. $\frac{-20}{90}$ $\gt$ $\frac{-18}{90}$ We multiply both sides by -90, which reverses the inequality. 20 $\lt$ 18 Because 20 is not less than 18, this inequality is false.