(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

Answered: Image /qna-images/answer/f4fbe8c1-571b-426b-9446-b9326d173a5c.jpg

Answered: (3) A = {r| x = 3d + 2, d e N}, B = {x…

(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)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 32EQ

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Question

(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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