Complement of a set
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..Sets Summary
>- The difference of two sets A and B, in this order, is the set of all those elements of A which are not in B. - The symmetric difference of two sets A and B is defined as the union of the sets A - B and B - A. Important results If A is a subset of universal..
>- The difference of two sets A and B, in this order, is the set of all those elements of A which are not in B. - The symmetric difference of two sets A and B is defined as the union of the sets A - B and B - A. Important results If A is a subset of universal..Set
A well-defined collection of distinct objects is called a set..
Sets
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..The difference between an angle and its complement is 36°. What is..
The difference between an angle and its complement is 36°. What is the supplement of the angle? => 117° or 72° or 27° or 153°..
The difference between an angle and its complement is 24°. What is..
The difference between an angle and its complement is 24°. What is the supplement of the angle? => 147° or 33° or 123° or 78°..
Find the complement of the event: rolling a die and getting a 1 or 3.
Find the complement of the event: rolling a die and getting a 1 or 3. => getting a 2, 4, 5 or 6 or getting a 5 or 3 or getting a 2 or 4 or getting a 2, 4 or 6..
Universal Set
In any application of the theory of sets, the members of all sets under consideration usually belong to some fixed large set called the universal set. Usually we denote the universal set by the letter..
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