what is universal set???
Answers
Answer:
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Explanation:
A universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements. ... In Mathematics, the collection of elements or group of objects is called a Set.
•EXAMPLES »
For example, consider the single-digit numbers 1 through 9: If {1, 2, 3, 4, 5, 6, 7, 8, 9} is our larger set, then A and B are part of that set. Thus A and B are each a subset of this larger set, called the Universal Set. . All other sets are subsets of the universal set.
•SYMBOLS»
Symbol Meaning Example
a ∈ A Element of: a is in A 3 ∈ {1, 2, 3, 4}
b ∉ A Not element of: b is not in A 6 ∉ {1, 2, 3, 4}
∅ Empty set = {} {1, 2} ∩ {3, 4} = Ø
Universal Set: set of all possible values (in the area of interest)
A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Suppose Set A consists of all even numbers such that, A = {2, 4, 6, 8, 10, …} and set B consists of all odd numbers, such that, B = {1, 3, 5, 7, 9, …}.