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Question 11. Taking a (x), b(x) and c(x) to denote the statements "x E A", "x E B" and "x E C" respectively, write each of the following as a proposition in predicate logic, then prove the proposition is valid. (a) AUB=AU (B − A) (b) (AUB) ≤ C = (A ≤ C) A (B≤ C)

Question 11. Taking a (x), b(x) and c(x) to denote the statements "x E A", "x E B" and "x E C" respectively, write each of the following as a proposition in predicate logic, then prove the proposition is valid. (a) AUB=AU (B − A) (b) (AUB) ≤ C = (A ≤ C) A (B≤ C)

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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Question 11. Taking a(x), b(x) and c(x) to denote the statements "x E A”, “x € B" and "x E C" respectively, write each of the following as a proposition in predicate logic, then prove the proposition is valid. (a) AUB=AU (B - A) (b) (AUB) ≤ C = (A ≤C) ^ (B ≤ C)
Transcribed Image Text:Question 11. Taking a(x), b(x) and c(x) to denote the statements "x E A”, “x € B" and "x E C" respectively, write each of the following as a proposition in predicate logic, then prove the proposition is valid. (a) AUB=AU (B - A) (b) (AUB) ≤ C = (A ≤C) ^ (B ≤ C)
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