Question

For problems 7-12, consider the sets below, and indicate if each statement is true or false. A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6} U = {numbers from 0 to 10}
7. 3 ∊ B 8. 5 ∊ C 9. B ⊂ A 10. C ⊂ A 11. C ⊂ B 12. C ⊂ U
Using the sets from above, and treating U as the Universal set, find each of the following:
13. A ⋃ B 14. A ⋃ C 15. A ⋂ C 16. B ⋂ C 17. Ac
need help with just 16 and 17

Answer 1

Answer:

16 and 17 are near the bottom!

7.  True.  3 is in B = { 1, 3, 5 }.

8.  False.   5 is not in C = { 4, 6 }.

9.  True.   Each element in B = { 1, 3, 5 } is also in A = { 1, 2, 3, 4, 5 }.

10.  False.  6 is in C but 6 is not in A.

11.  False.  6 is in C but 6 is not in B.

12.  True.  Each element in C = { 4, 6 } is also in U = { numbers from 0 to 10 }.

13.  A ∪ B = { elements in either A or B } = { 1, 2, 3, 4, 5 }

14.  A ∪ C = { elements in either A or C } = { 1, 2, 3, 4, 5, 6 }

15.  A ∩ C = { elements in both A and C } = { 4 }

16.  B ∩ C = { elements in both B and C } = {} = ∅  (use whichever notation you usually use in class)

17.  Ac = { elements in U but not in A } = { 0, 6, 7, 8, 9, 10 }

18.  Bc = { elements in U but not in B } = { 0, 2, 4, 6, 7, 8, 9, 10 }