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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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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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