State the dual of each theorem in Exercise 13. (Here you will want to use the result
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In Exercise 13
Consider the membership table (Table 3.7). If we are given the condition that A B, then we need consider only those rows of the table for which this is true - rows 1, 2, and 4, as indicated by the arrows. For these rows, the columns for B and A U B are exactly the same, so this membership table shows that A B A U B = B.
Table 3.7
Use membership tables to verify each of the following:
a) A B A © B = A
b) [(A © B = A) § (B U C = C)] A U B U C = C
c)
d) A B = C A C = B and B C = A
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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