#### Answer

$-7\frac{1}{2}\leq n$

#### Work Step by Step

$6\geq-\frac{4}{5}n$
Multiply both sides by 5
$6(5)\geq-\frac{4}{5}n(5)$
$30\geq-4n$
Divide both sides by -4, reverse the sign
$\frac{30}{-4}\geq\frac{-4n}{-4}$
$\frac{15}{-2}\leq n$
or
$-7\frac{1}{2}\leq n$
$n\geq\frac{15}{-2}$
or
$n\geq-7\frac{1}{2}$