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P(0) = {0} P(A) \ {0} P(A) ACB iff P(A) CP(B).

P(0) = {0} P(A) \ {0} P(A) ACB iff P(A) CP(B).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove the following for any given sets A, B, C and D. 1. P(0) = {0} 2. P(A) \ {0} = P(A) 3. ACB iff (A) ≤ P(B). 4. ACB if and only if AU B = B 5. (A x B) U (C x D) C (AUC) × (BUD)
Transcribed Image Text:Prove the following for any given sets A, B, C and D. 1. P(0) = {0} 2. P(A) \ {0} = P(A) 3. ACB iff (A) ≤ P(B). 4. ACB if and only if AU B = B 5. (A x B) U (C x D) C (AUC) × (BUD)
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