Answer
$z \gt \frac{1}{2}$
Work Step by Step
Add $10$ to each side of the inequality to isolate the constants on one side of the inequality:
$-4z \lt -2$
Divide each side by $-4$ to solve for $z$. When we divide by a negative number in an inequality, we switch the sign to the opposite sign:
$z \gt \frac{2}{4}$
Let's simplify the fraction by dividing the numerator and denominator by their greatest common factor, $2$:
$z \gt \frac{1}{2}$
