More practice questions

  1. Q4. U = {1, 2, …, 12}, A = {multiples of 2}, B = {multiples of 3}. Which elements go in the shared part of A and B, which in A only, which in B only, and which outside both?

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    Shared: 6, 12. A only: 2, 4, 8, 10. B only: 3, 9. Outside both: 1, 5, 7, 11.

  2. Q5. For U = {a, b, c, d, e, f}, A = {a, b} and B = {d, e}, how should A and B be drawn, and what lies outside both circles?

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    As two separate circles, since A and B have no common element. c and f lie outside both.