In this video, we will be learning how to solve inequalities using multiplication or division.

For Example:

Divide by -3 on both sides (Don’t forget to flip the inequality sign since we are dividing by a negative!)

Graph the inequality

## Video-Lesson Transcript

Let’s go over solving inequalities using multiplication or division

The rules are very similar to solving regular equations except for one rule.

If we multiply or divide by a negative number, we have to flip inequality.

Here are some examples:

To solve for , we have to divide both sides by .

Next we have

Let’s solve by dividing both sides by

Since we divide it by a negative number, the inequality sign should be flipped.

Let’s look at another example.

So, we’ll solve by dividing both sides by .

Here, its negative divided by positive.

Remember the rule? If we multiply or divide by a negative number, we have to flip inequality.

In this example, we are dividing by positive . So there’s no need to flip the sign.

So the answer is:

Next, let’s have

To solve for , let’s divide both sides by .

Here, we multiplied by a negative number so we have to flip the inequality sign.

So the answer is

So in solving inequalities using multiplication or division, follow the same rules to solve for .

But if we, at any point, multiply or divide by a negative number, we have to flip the inequality sign.

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