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Integers, Rational numbers, Real numbers and Complex numbers.

Q: Which subsets does the number -22 belong?

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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.

Real numbers; rational numbers; integers; and of course you can make up lots of other sets to which it belongs.

A finite set with N distinct elements has 2N subsets.

If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.

A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.

Related questions

Rational numbers.

Real number, Rational Number

Elements belong to subsets: subsets contain elements (from the parent set).

Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".

The one which says rational numbers (ℚ).

No, they can belong to infinitely many subsets.

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.

Real numbers; rational numbers; integers; and of course you can make up lots of other sets to which it belongs.

A fraction is a number, it is not a set. A number cannot have subsets, only a set can.

To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)

The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.

Only a set can have subsets, a number cannot have subsets.