Question

ار
If A = {1,2,3,4,5}, B={1,3,5,9}, С={ 2,4,6,8}
Proov that A/\ (BUC)= (A/\B) U (A/\C)​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

A = {1,2,3,4,5}, B={1,3,5,9}, С={ 2,4,6,8}

A∩(BUC)= (A∩B) U (A∩C)​

BUC={1,3,5,9} U { 2,4,6,8}

={ 1,2,3,4,5,6,8,9}

So LHS=A∩(BUC)

={1,2,3,4,5} ∩ { 1,2,3,4,5,6,8,9}

A∩(BUC)={1,2,3,4,5} ......(1)

Now RHS=

A∩B={1,3,5}

A∩C={2,4}

Thus (A∩B) U (A∩C)​={1,2,3,4,5}.............(2)

Thus from (1) and (2)

A∩(BUC) = (A∩B) U (A∩C)