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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
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 a set of natural numbers, i.e. N.
Disclaimer: The Universal set for the sets A, B and C can be set of whole numbers, integers, rational numbers of real numbers and so on.
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