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

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Answer 1 · 2018-07-23T20:35:45

$n>=-2$ or $n<6$

Let's start with our first inequality

$9+3n>=3$

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

$3n>=-6$

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

$n>=-2$

Let's move on to our second inequality:

$5n<30$

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

$n<6$

Therefore, our solutions are

$n>=-2$ or $n<6$

Hope this helps!

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