Answer
False
Work Step by Step
(-$\frac{1}{2}$) ($\frac{4}{9}$) $\gt$ ($\frac{3}{5}$) (-$\frac{1}{3}$)
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.