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What is subset of real number?

Updated: 12/16/2022
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13y ago

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There are lots of subsets; some of the ones that are commonly used are: rational numbers; Irrational Numbers; positive numbers; negative numbers; non-negative numbers; integers; natural numbers.

Remember that a subset simply means a set that is contained in another set. It may even be the same set.

So the real numbers are a subset of themselves. The number {3} is a subset of the reals.

All the examples above are subsets as well.

The set {0,1, 2+i, 2-i} is NOT a subset of the real numbers.

The real numbers are a subset of the complex numbers.

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No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.


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