# How do you solve "quotient of the sum of 3 and a number and 6 is less than -2" and graph the solution on a number line?

Jul 10, 2017

$x < - 15$

#### Explanation:

A quotient is the answer to a division.

Let's add the required phrasing to the the statement.

The quotient of (the sum of 3 and a number) and (6) is (less than -2)

$\left(3 + x\right) \div 6 < - 2$ which is easier shown as :

$\frac{3 + x}{6} < - 2 \text{ } \leftarrow \times 6$

$3 + x < - 12$

$x < - 12 - 3$

$x < - 15$

On a number line graph this is shown as an open circle on -15 and an arrow extending to the left.
Any value less then $- 15$ is part of the solution.