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

See a solution process below:

"The quotient" is the result of division.

So we can write:

So, we can continue to write:

And we can finish the inequality as:

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]}

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

First, let's analyze what each word means.

Now take out the numbers.

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To solve the inequality "quotient of three times a number and 4 is at least -16," first, translate the sentence into an algebraic expression. Then, solve the inequality algebraically to find the solution set. Finally, represent the solution set on a number line graphically.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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