More practice questions

  1. Q4. For A = {a, e} and B = {b, c, d}, give the smallest possible universal set and one larger one.

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    The smallest is {a, b, c, d, e}, which contains both sets and nothing else; any larger set, such as the whole English alphabet, also works.

  2. Q5. For the sets of prime numbers and of even numbers, is N a possible universal set? Is Z?

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    Both work: every prime and every even natural number lies in N, and N ⊂ Z. If the even numbers are meant to include 0 or negative ones, N = {1, 2, 3, …} fails, and Z (or a larger set) is needed.