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Given L = {1, 2, 3, 4}, M = {3, 4, 5, 6} and N = {1, 3, 5}

Verify that L – (M ∪ N) = (L – M) ∩ (L – N)

0 3 Views | Posted 4 months ago
Asked by Shiksha User

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    Answered by

    Vishal Baghel | Contributor-Level 10

    4 months ago

    G i v e n ,           L = { 1 , 2 , 3 , 4 } ,     M = { 3 , 4 , 5 , 6 }     a n d     N = { 1 , 3 , 5 } ∴                                               M ∪ N = { 1 , 3 , 4 , 5 , 6 }                                           L − M ∪ N = { 2 } N o w ,     L − M = { 1 , 2 } ,     L − N = { 2 , 4 } ∴                       ( L − M ) ∩ ( L − N ) = { 2 } H e n c e ,     L − M ∪ N = ( L − M ) ∩ ( L − N ) .

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