Question

complement of a set!!!!

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Answer 1

Answer:

The complement of a set, denoted A', is the set of all elements in the given universal set U that are not in A. In set- builder notation, A' = {x ∈ U : x ∉ A}.

• Example: U' = ∅ The complement of the universe is the empty set. Example: ∅' = U The complement of an

Answer 2

Answer:-

Let U be the universal set and A a subset of U. Then the complement of A is the set of all elements of U which are not the elements of A.

Symbolically,

we write A′ to denote the complement of A with respect to U.

• Thus, A′ = {x : x ∈ U and x ∉ A }.

• Obviously A′ = U – A

• We note that the complement of a set A can be looked upon, alternatively, as the difference between a universal set U and the set A.

 

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