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Universal Set

Which set of ...

Question

Which set of numbers could be the universal set for the set given below?
A = set of multiples of 5,
B = set of multiples of 7,
C = set of multiples of 12.

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Solution

We have,
A = set of multiples of 5 = {5, 10, 15, ...};
B = set of multiples of 7 = {7, 14, 21, ...}; and
C = set of multiples of 12 = {12, 24, 36, ...}
The universal set for the sets A, B and C can be set of natural numbers, i.e. N.

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