ELI5: Explain Like I'm 5

Rational set

Okay, kiddo, let me try and explain what a rational set is in a way that's easy for you to understand.

Imagine you have a bunch of snacks that you really like: apples, bananas, cookies, and crackers. Now imagine you want to put them in order from your favorite to your least favorite.

To rank these snacks, you might use numbers, like 1 for your favorite, 2 for your second favorite, and so on. These numbers help you describe how much you like each snack relative to the others.

Now, let's say you only want to use whole numbers to rank your snacks. That means you can't use numbers like 1.5 or 2.7 – only 1, 2, 3, and so on.

In math, we call this type of numbering system the "rational set." It's a set of numbers that can be expressed as a fraction, like 1/2, 3/4, or 6/8. Every whole number is also a rational number, like 3/1 or 12/1.

So when you use the rational set to rank your snacks, you're essentially assigning each snack a fraction (or a whole number). And because you're only using whole numbers or fractions, you're using the rational set.

Pretty neat, huh?
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