# Solving Inequalities Using Addition, Subtraction, Multiplication, and Division

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Solving inequalities using blob fish? Yes, please!

Algebra | One-Variable Equations and Inequalities Solve equations and inequalities in one variable Understand solving equations as a process of reasoning Understand solving equations as a process of reasoning and explain the reasoning |

Algebra and Functions | Inequalities |

Language | English Language |

One-Variable Equations and Inequalities | Solving Inequalities |

### Transcript

Your oh so generous mom gave you $6 to contribute to the fund. She loves the blobfish. [Mother gives 6 dollars to save the blobfish]

Unfortunately, the fundraiser doesn't allow total donations more than $30, thanks to tax regulations.

What is the most amount of money you and your friend can each contribute?

We may not be able to save the blobfish... [Blobfish flushed down a toilet]

But we can solve this problem.

Let's let x be the maximum amount of money you and your friend can EACH contribute,

Since both of you are contributing x dollars, we can write that as 2x.

And don't forget your mom's generous $6 donation to the cause.

So the total we can contribute is 2x + 6.

BUT the maximum we can donate is $30, so 2x + 6 is less than or equal to 30. [Maths formula shown and Uncle Sam appears]

Now to solve this pressing issue.

First we'll subtract six from each side...

That leaves us with 2x is less than or equal to 24.

Now we need to divide both sides by two.

That gives us x is less than or equal to 12. So you and your friend can each contribute $12. [Two friends contributing 12 dollars to save blobfish]

You'll either have to get more friends to

donate money or ask the president to change the tax regulations. Good luck with that..

Starving blobfish in the Pacific need your help today. [Blobfish holding up a sign to work for krill]