# How do you solve 14< 5p + 4< 34?

Mar 25, 2018

$\implies 2 < p < 6$

#### Explanation:

What you do to one piece of this compound inequality you must do to each of the other pieces as well.

$\implies 14 < 5 p + 4 < 34$

We subtract $4$ from all parts:

$\implies 14 - 4 < 5 p + 4 - 4 < 34 - 4$

$\implies 10 < 5 p < 30$

Now we divide all parts by $5$:

$\implies \frac{10}{5} < \frac{5 p}{5} < \frac{30}{5}$

$\implies 2 < p < 6$