Question

If A = {1, 3, 5, 7}, B = {2,4,8}, C = {3, 5, 6 } find (1) AUB (i) AUC​

Answer 1

Answer:

Solution

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U={1,2,3,4,5,6,7,8,9}

A={2,4,6,8}

B={2,3,5,7}

(i) (A∪B)

′

={2,3,4,5,6,7,8}

′

={1,9}

A

′

∩B

′

={1,3,5,7,9}∩{1,4,6,8,9}={1,9}

∴(A∪B)

′

=A

′

∩B

′

(ii) (A∩B)

′

={2}

′

={1,3,4,5,6,7,8,9}

A

′

∪B

′

={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}

∴(A∩B)

′

=A

′

∪B

′

Answer 2

Answer:

A = {1, 3, 5, 7},

B = {2,4,8},

C = {3, 5, 6

Step-by-step explanation:

AUB= { 1,2,3,4,5,7,8}

AUC={ 2,3,4,5,6,8}