Question

Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:
19. Dc ⋂ E 20. Fc ⋂ D 21. (D ⋂ E) ⋃ F 22. D ⋂ (E ⋃ F)
23. (F ⋂ E)c ⋂ D 24. (D ⋃ E)c ⋂ F


need answers for 19,21,24,25

Answer 1

Answer:

19.  Dc ∩ E = { elements in E but not in D } = { t, s }

20.  Fc ∩ D = { elements in D but not in F } = { c, k }

21.  ( D ∩ E ) ∪ F = { a, k } ∪ F = { b, a, t, h, k }

22.  D ∩ ( E ∪ F ) = D ∩ { t, a, s, k, b, h } = { b, a, t, h }

23.  ( F ∩ E )c ∩ D = { t, a }c ∩ D = { b, c, k }

24.  ( D ∪ E )c ∩ F = { b, a, c, k, t, s }c ∩ F = { b, a, t }

25. ( F ∩ E ) ∪ D = { a, t } ∪ D = { b, a, c, k, t } (see attached)

Answer 2

Answer:

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