# How do you solve the compound inequalities 9 + 3n >=3 or  5n < 30?

Jul 23, 2018

$n \ge - 2$ or $n < 6$

#### Explanation:

$9 + 3 n \ge 3$

Let's start by subtracting $9$ from both sides. This leaves us with

$3 n \ge - 6$

Next, we can divide both sides by $3$ to get

$n \ge - 2$

Let's move on to our second inequality:

$5 n < 30$

For this inequality, we only have to divide both sides by $5$ to isolate $n$. We get

$n < 6$

Therefore, our solutions are

$n \ge - 2$ or $n < 6$

Hope this helps!