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Take any set; this set and its complement are mutually exclusive. Here are some examples:
- Negative and non-negative (i.e., positive and zero) numbers
- Rational and Irrational Numbers
- Integers and non-integers
- Algebraic and transcendental numbers
You can also take a set and its complement from a smaller universe; these would also be mutually exclusive. For example:
- Even and odd numbers (only includes integers)
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What are the two subsets of the real numbers that form the set of real numbers?
rational numbers and irrational numbers
Which subsets does the number -22 belong?
Integers, Rational numbers, Real numbers and Complex numbers.
To which subsets of the real number does the number -22 belong?
Real numbers; rational numbers; integers; and of course you can make up lots of other sets to which it belongs.
Which subsets of real numbers does the number -22 belong?
To any set that contains it! It belongs to {-22}, or {-22, sqrt(2), pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 11, or composite numbers, or integers, or rational numbers, or real numbers, etc.
What are the Similarities between rational and irrational number?
The one thing they have in common is that they are both so-called "real numbers". You can think of them as points on the "real number line".Both are infinitely dense, in the sense that between any two rational numbers, you can find another rational number. The same applies to the irrational numbers. Thus, there are infinitely many of each. However, the infinity of irrational numbers is a larger infinity than that of the rational numbers.
