Question

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 18. Bc

I just need 16 and 17 done

Answer 1

Answer:

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 }