How do you solve -2k < 1/4?

$k > - \frac{1}{8}$
$- 2 k < \frac{1}{4}$ (Divide both sides by -2)
$k < - \frac{1}{8}$ (Less than sign would now become greater than, because we divided by a negative number)
$k > - \frac{1}{8}$