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There is no such thing as a "set of all sets". To be more precise, the idea of a "set of all sets" leads to contradictions; therefore this term is avoided in set theory. Check the Wikipedia article on "Universal set" for more details.
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What is equal set?
Two sets are equal if they both contain the same elements.
Does all sets have subsets?
Yes all sets have subsets.Even the null set.
What are examples of a proper subset?
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.
What set of real numbers does -15 belong to?
You can, of course, make up infinitely many sets that contain this number. Some important sets that include it are:The set of integers.The set of rational numbers.The set of real numbers.The set of complex numbers.
Do all infinite sets are equivalent sets?
we can consider all infinite sets as equivlent sets if we go by the the cantor set theory.for eg. on a number line if we consider the nos. between 0 and 1 as a set then they are infinite. similarly the nos. between 0 and 5 can also be considered infinite and if considered as a set then they can be considered as equivalent
Does the set of all sets contain itself?
Yes.
What is power sets?
The power set of a set, S, is the set containing all subsets of S - including S, itself, and the null set.
What is power sets in mathematics?
If tiu have a set S, its power set is the set of all subsets of S (including the null set and itself).
What is intersection of the set?
You normally do not have an intersection of only one set. The intersection of a set with itself is the set itself - a statement that adds little value. The intersection of two sets is the set which contains elements that are in each of the two sets.
What are the equivalents sets?
Equivalent sets are sets that have the same cardinality. For finite sets it means that they have the same number of distinct elements.For infinite sets, though, things get a bit complicated. Then it is possible for a set to be equivalent to a proper subset of itself: for example, the set of all integers is equivalent to the set of all even integers. What is required is a one-to-one mapping, f(x) = 2x, from the first set to the second.
What does the math word union mean?
ALL the elements in set A combined with all the elements in set B.Example:When A={1,2,3,4} and B={2,3,6} The union of Sets A and B would be: {1,2,3,4,6} , because both sets contain those numbers.
What a equal sets?
What are equal sets?? A set is a grouping of numbers. Set P = {1,4,9} if set Q is equal it must contain exactly the same numbers.
0 is not in the set of?
You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).You can invent an infinite number of sets that don't contain the number zero. For a start, a common set that doesn't contain the zero is the set of natural, or counting, numbers (1, 2, 3...).
What is equal set?
Two sets are equal if they both contain the same elements.
Which set is a subset of every set?
The empty set is a subset of all sets. No other sets have this property.
Does all sets have subsets?
Yes all sets have subsets.Even the null set.
What is for two sets the set of all elements that are in either set?
That is called the UNION of the two sets.
