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The set (A ∩ B′) ′ ∪ (B ∩ C) is equal to

 (a) A′ ∪ B ∪ C                         (b) A′ ∪ B 

 (c) A′ ∪ C′                               (d) A′ ∩ B

 

0 2 Views | Posted 5 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    5 months ago

    W e     k n o w     t h a t :         ( A ∩ B ) ' = A ' ∪ B ' ∴                     ( A ∩ B ' ) ' ∪ ( B ∩ C ) = [ A ' ∪ ( B ' ) ' ] ∪ ( B ∩ C )                                                                                                                 = ( A ' ∪ B ) ∪ ( B ∩ C )                   [ ? ( B ' ) ' = B ]                                                                                                                 = A ' ∪ B H e n c e ,     t h e     c o r r e c t     o p t i o n     i s     ( b ) .

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