(3) A= {r| a = 3d + 2, d e N}, B = {x € Z]r° +9 = 0}, C = {1,5}. Also assume the Universal set is N: Show the following: (a) (Cn A)-B (b) (AUC) - B (c) P(P(C- B)nA),

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Chapter2: Second-order Linear Odes
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(3) A= {r| a = 3d + 2, de N}, B = {x € Z]r° +9 = 0}, C = {1,5}.
Also assume the Universal set is N: Show the following:
(a) (CnA)-B
(b) (AUC) – B
(c) P(P(C- B)n A)
(4) Prove by contradiction, for any sets A and B, if ACA- B, then AnB = Ø
Transcribed Image Text:(3) A= {r| a = 3d + 2, de N}, B = {x € Z]r° +9 = 0}, C = {1,5}. Also assume the Universal set is N: Show the following: (a) (CnA)-B (b) (AUC) – B (c) P(P(C- B)n A) (4) Prove by contradiction, for any sets A and B, if ACA- B, then AnB = Ø
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