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Complement of a set, Law of Complement, Property of Complement - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • 14 Questions around this concept.

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Let f:R\rightarrow R  be defined by  f(x)=2x+\sin x for x\in R then f is.

If f(x)=\ln \frac{x^{2}+e}{x^{2}+1}   then range of f(x) is.

Which of the following relation represent the properties of the complement set?

Concepts Covered - 1

Complement of a set, Law of Complement, Property of Complement

Let U be the universal set and A is 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 use A' or Ac to denote the complement of A with respect to U.

 A' = {x∶ x ∈ U and x ∉ A }. Obviously, A' = U – A 

 

 

Properties of Compliment

  • A ∪ A′ = U

  • A ∩ A′ = φ

  • (A' )' = A

  • U′ = φ and φ′ = U

  • A - B = A ∩ B'

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Complement of a set, Law of Complement, Property of Complement

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