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Complement of a set

publish date: 2022/07/13 02:13:00 GMT+10

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Let U be the universal set and A is a proper subset of U, Then

A' =

Please drag and drop the selected option in the right place or type it instead
A - U
U - A

Correct Answer

(1) U - A

Explanation

If we consider the difference of sets U and A (where U is the universal set), then this difference is denoted by A' or Ac and it is called the complement of A in U. Thus, the complement of a given set A (with respect to the universal set U) is the difference of the universal set U and A, in that order, and is denoted by A' or Ac. We write

A' = U - A = {x|x ∈ U, but x ∉ A}

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

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