Question

If A⊂U, then U' = ?
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Answer 1

Answer:

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Step-by-step explanation:

The complement of a set using Venn diagram is a subset of U. Let U be the universal set and let A be a set such that A ⊂ U. Then, the complement of A with respect to U is denoted by A' or AC or U – A or ~ A and is defined the set of all those elements of U which are not in A.

Thus, A' = {x ∈ U : x ∉ A}.

Clearly, x ∈ A' ⇒ x ∉ A

Complement of a Set using Venn Diagram

4Save

(A – B) is also called the complement of B relative to A. From the definition it is clear that the complement of the whole set in a set is the null set; for U' = U – U = ∅ again ∅' = U - ∅ = U also (A')' = U – A' = U – (U – A) = A. If the set of real numbers be the universal set, then the set of rational numbers and the set of irrational numbers are complements of each other.

Answer 2

Answer:

your answer

Step-by-step explanation:

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