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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(3) A = {r| x = 3d + 2, d e N}, B = {r € Z]a² + 9 = 0}, C = {1,5}.
Also assume the Universal set is N: Show the following:
%3D
(a) (CnA) – B
(b) (AUC) – B
(c) P(P(C – B) n A)
(4) Prove by contradiction, for any sets A and B, if A CA- B, then AnB = ø
Transcribed Image Text:(3) A = {r| x = 3d + 2, d e N}, B = {r € Z]a² + 9 = 0}, C = {1,5}. Also assume the Universal set is N: Show the following: %3D (a) (CnA) – B (b) (AUC) – B (c) P(P(C – B) n A) (4) Prove by contradiction, for any sets A and B, if A CA- B, then AnB = ø
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