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If the number of elements in set A is equal to the number of elements in set B.
The function sgn(x) is undefined at x=0. A function can be continuous or discontinuous at the points of domain not at points outside of the domain. Since {0} does not belong to the domain of sgn(x), the question of continuity or discontinuity is irrelevant.
An identity relation on a set 'A' is the set of ordered pairs (a, a), where 'a' belongs to set 'A'. For example, suppose A={1,2,3}, then the set of ordered pairs {(1,1), (2,2), (3,3)} is the identity relation on set 'A'. Any relation 'R' on a set 'A' is said to be reflexive if (a, a) belongs to 'R', for every 'a' belongs to set 'A'. For example, suppose A={1, 2, 3}, then a relation...
An empty set is a finite set having null element, that's why it is considered as subsets of all sets.
When a=b then, ordered pair {a,b}={b,a} For a straight line y=x is an example.
If U={1,2,3,4,5,6,7,8,9} is a universal set, A={1,2,3,4,}and B={3,4,5,6,7} are two sets then, (A âˆª B)={1,2,3,4,5,6,7} (A âˆª B)â€™={8,9} Aâ€™={5,6,7,8,9} B'={1,2,8,9} (Aâ€™ âˆ© Bâ€™)={8,9}
If Universal set is not defined then the cardinal number is infinity otherwise it is equal to the total number of total elements.
U-U'=U
A-B=B-A={ }
If both the sets are equal.
No, it is just a symbol
A. An empty set is a finite set having null element.
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YES, because in an empty set number of element is null.
A Proper subset is defined as if the number of elements in the subset is not equal to the number of elements in parent set. And A Improper subset is defined as if the number of elements in the subset is equal to the number of elements in parent set.
No, because in equivalence sets the number of elements is the same but in equal sets all elements are same.
Understanding Sets, we can conceptualize and summarize the idea of similar objects and then on the basis of that only one can establish the attributes which in turn define them and make them unique. Further, it is the basic building block of Relations and Functions.
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Understanding Sets, we can conceptualize the idea of similar objects and then on the basis of that only one can establish the attributes which in turn define them and make them unique. Further, it is the basic building block of Relations and Functions.
Understanding Sets, we can conceptualize the idea of similar objects and then on the basis of that only one can establish the attributes which in turn define them and make them unique. Further, it is the basic building block of Relations and Functions.
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