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Which of the following is not a property of Universal Set? A is the given set.

  • Option 1)

    A\cup A^{c}=U

  • Option 2)

    A\cap A^{c}=U

  • Option 3)

    U-A=A^{c}

  • Option 4)

    U-A^{c}= A

 

Answers (1)

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As we learnt 

 

UNIVERSAL SET -

 

A set that contains all sets in a given context is called the “Universal Set”. The universal set is usually denoted by U, and all its subsets by the letters A, B, C, etc.

- wherein

R is the universal set of N,W and Z.

 

 There is no common portion between A and A', hence A \cap A' = \phi

 


Option 1)

A\cup A^{c}=U

Option 2)

A\cap A^{c}=U

Option 3)

U-A=A^{c}

Option 4)

U-A^{c}= A

Posted by

Himanshu

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