Question

If = {x: x is an integer such that 1 < x < 20} and A= {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}. Find and compare the sets (AUB)' and A' ∩ B' and share your observations.

Answer 1

Answer:

AUB ={2,4,6,8,9,10,11,12,13,14,16,18}

(AUB)'={3,5,7,15,17,19}

A' ={1,2,3,4,5,6,7,15,16,17,18,19}

B' ={3,5,7,9,11,13,15,17,19}

A' ∩ B'={3,5,7,15,17,19}

Observation

result of both are same

therefore

(AUB)'=A' ∩ B'

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