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Earn +20 ptsQ: What is the complement of the set of real numbers?
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What is complements of a set?
The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0
Why irrational numbers denoted by Q'?
Irrational numbers may be denoted by Q' since they are the complement of Q in R, the set of Real numbers.
Is the complement of the set of odd integers is the set of even integers?
It is if we only consider integers. If we consider all real numbers, for example, it would not be.
What is A set of numbers that is larger than the set of real numbers?
In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.
In the set of rational numbers the complement of the set of integers is the set of fractions?
Only if they are fractions in their simplified form.
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