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A set "A" is said to be a subset of "B" if all elements of set "A" are also elements of set "B".Set "A" is said to be a proper subset of set "B" if:

* A is a subset of B, and

* A is not identical to B

In other words, set "B" would have at least one element that is not an element of set "A".

Examples:

{1, 2} is a subset of {1, 2}. It is not a proper subset.

{1, 3} is a subset of {1, 2, 3}. It is also a proper subset.

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Q: What is subsets and proper subsets?

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The set {1, 3} is a proper subset of {1, 2, 3}.The set {a, b, c, d, e} is a proper subset of the set that contains all the letters in the alphabet.All subsets of a given set are proper subsets, except for the set itself. (Every set is a subset of itself, but not a proper subset.) The empty set is a proper subset of any non-empty set.This sounds like a school question. To answer it, first make up any set you like. Then, as examples of proper subsets, make sets that contain some, but not all, of the members of your original set.

yes, if the set being described is empty, we can talk about proper and improper subsets. there are no proper subsets of the empty set. the only subset of the empty set is the empty set itself. to be a proper subset, the subset must be strictly contained. so the empty set is an improper subset of itself, but it is a proper subset of every other set.

thenumber of subsets = 8formula: number of subsets =2n; wheren is thenumber of elements in the set= 2n= 23= 8The subsets of 1,2,3 are:{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}

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

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

Related questions

meaning of proper subsets

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

The empty set has only one subset: itself. It has no proper subsets.

16

The null set is a proper subset of any non-empty set.

6

2n - 1

No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.

You cannot. They are two disjoint subsets of rational numbers.

If you start with a set with only one element [16187191] then there can be only one proper subset: the empty set.

The set {1, 3} is a proper subset of {1, 2, 3}.The set {a, b, c, d, e} is a proper subset of the set that contains all the letters in the alphabet.All subsets of a given set are proper subsets, except for the set itself. (Every set is a subset of itself, but not a proper subset.) The empty set is a proper subset of any non-empty set.This sounds like a school question. To answer it, first make up any set you like. Then, as examples of proper subsets, make sets that contain some, but not all, of the members of your original set.

An element doesn't have subsets. Sets can have subsets.

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