# How do you solve k/3-14<-5 and graph the solution on a number line?

Jul 21, 2018

$k < 27$

#### Explanation:

To solve this, first add $\textcolor{b l u e}{14}$ to both sides of the inequality:
$\frac{k}{3} - 14 \quad \textcolor{b l u e}{+ \quad 14} < - 5 \quad \textcolor{b l u e}{+ \quad 14}$

$\frac{k}{3} < 9$

Multiply both sides by $\textcolor{b l u e}{3}$:
$\frac{k}{3} \textcolor{b l u e}{\cdot 3} < 9 \textcolor{b l u e}{\cdot 3}$

$k < 27$

This can be said as "$k$ is less than $27$."

Here's a graph of it on a number line:

(mathwarehouse.com)

The open circle on $27$ means that $27$ is one of the solutions (and anything less than it).

Hope this helps!