# How do you solve 1/2z<20?

Oct 21, 2017

$z < 40$

#### Explanation:

To isolate for $z$, multiply by the reciprocal of the coefficient, which is $2$:

$\setminus \frac{1}{2} x < 20$

$2 \setminus \cdot \setminus \frac{1}{2} z < 20 \setminus \cdot 2$

Simplify both sides

$z < 40$

This means that any value of $z$ less than $40$ will satisfy this inequality.

Oct 21, 2017

$z < 40$

#### Explanation:

$\frac{1}{2} z < 20$
Multiply both sides by $\textcolor{red}{2}$
$2 \left(\frac{1}{2} z\right) < \left(2\right) \left(20\right)$
$\frac{\cancel{2}}{\cancel{2}} z < 40$
$z < 40$