# How do you solve "quotient of three times a number and 4 is at least -16" and graph the solution on a number line?

##### 2 Answers

See a solution process below:

#### Explanation:

Let's call **"a number"**:

**"The quotient"** is the result of division.

In this problem, the numerator is:

The denominator is:

So we can write:

**"is at least"** means this is an inequality and specifically a

So, we can continue to write:

And we can finish the inequality as:

To solve this, multiply each side of the inequality by

To graph this we will draw a vertical line at

The line will be a solid line because the inequality operator contains an **"or equal to"** clause.

We will shade to the right side of the line because the inequality operator also contains a **"greater than"** clause:

graph{x>=-64/3 [-30, 30, -15, 15]}

To graph this on a number line, you would make a solid dot on the point

#### Explanation:

First, let's analyze what each word means.

"quotient (

Now take out the numbers.

Now to find the possibilities of

To graph this on a number line, you would make a solid dot on the point