Chapter 1: Sets

Exercise

Question

Question: 8 (i)

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Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universal set(s) for all the three sets A, B and C

(i) {0, 1, 2, 3, 4, 5, 6}

Answer

1
Determine whether the given set contains every element of sets A, B, and C.
Answer: Not a universal set.
Reason: A universal set for A, B, and C must contain all elements of A $∪$ B $∪$ C. Since the element 8 is missing from the given set, it cannot be considered a universal set.
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