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# 18.13: Sets

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1. $$\{m, i, s, p\}$$ 3. One possibility is: Multiples of 3 between 1 and 10

5. Yes 7. True

9. True 11. False

13. $$A \cup B=\{1,2,3,4,5\}$$ 15. $$A \cap C=\{4\}$$

17. $$A^{c}=\{6,7,8,9,10\}$$ 19. $$D^{c} \cap E=\{t, s\}$$

21. $$(D \cap E) \cup F=\{\mathrm{k}, \mathrm{b}, \mathrm{a}, \mathrm{t}, \mathrm{h}\}$$ 23. $$(F \cap E)^{c} \cap D=\{\mathrm{b}, \mathrm{C}, \mathrm{k}\}$$

25. 27. 29. One possible answer: $$(A \cap B) \cup(B \cap C)$$

31. $$\left(A \cap B^{2}\right) \cup C$$ 33. $$5$$

35. $$6$$ 37. $$\mathrm{n}(A \cap C)=5$$

39. $$\mathrm{n}(A \cap B \cap C)=3$$ 41. $$\mathrm{n}(G \cup H)=45$$

43. 136 use Redbox

45. a) 8 had seen exactly one b) 6 had only seen SW

18.13: Sets is shared under a CC BY-SA 3.0 license and was authored, remixed, and/or curated by David Lippman via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.