1.2.0: Exercises
- Page ID
- 171684
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2. {true, false }
For the following exercises, determine the relationship between the two sets and write the relationship symbolically.
\(D=\{0,1,2, \ldots, 9\}, A=\{0,2,4,6,8\}, B=\{1,3,5,7,9\}, C=\{8,6,4,2,0\}, Z=\{0\}\), and \(\emptyset\)
5. \(D\) and \(A\)
6. \(B\) and \(D\)
7. \(C\) and \(D\)
8. \(Z\) and \(C\)
9. \(Z\) and \(\emptyset\)
10. \(A\) and \(B\)
11. \(A\) and \(C\)
12. \(\emptyset\) and \(D\)
13. \(B\) and \(C\)
14. \(A\) and \(Z\)
15. {Adele, Beyonce, Cher, Madonna, Shakira }
16. { Art, Paul }
17. {Peter, Paul, Mary}
18. \(\emptyset\)
19. \(\{3\}\)
20. \(\{l, o, v, e\}\)
21. \(\}\)
22. \{football, baseball, basketball, soccer, hockey, tennis, golf\}
23. Set \(A\), if \(n(A)=12\).
24. Set \(B\), if \(n(B)=9\).
25. Find a subset of \(U\) that is equivalent, but not equal, to the set: \(\{l, \mathrm{a}, \mathrm{s}, \mathrm{t}\}\).
26. Find a subset of \(U\) that is equal to the set: \(\{l, \mathrm{a}, \mathrm{s}, \mathrm{t}\}\).
27. Find a subset of \(U\) that is equal to the set: \(\{\mathrm{a}, \mathrm{r}, \mathrm{t}\}\).
28. Find a subset of \(U\) that is equivalent, but not equal, to the set \(\{\mathrm{a}, \mathrm{r}, \mathrm{t}, \mathrm{s}\}\).
29. Find a subset of \(U\) that is equivalent, but not equal, to the set: \(\{\mathrm{r}, \mathrm{a}, \mathrm{t}, \mathrm{e}, \mathrm{s}\}\).
30. Find a subset of \(U\) that is equal to the set: \(\{\mathrm{r}, \mathrm{a}, \mathrm{t}, \mathrm{e}, \mathrm{s}\}\).
31. Find two three-character subsets of set \(U\) that are equivalent, but not equal, to each other.
32. Find two three-character subsets of set \(U\) that are equal to each other.
33. Find two five-character subsets of set \(U\) that are equal to each other.
34. Find two five-character subsets of set \(U\) that are equivalent, but not equal, to each other.