May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Solution ManualA-3
Author: Uma Shanker Gupta and ISBN: 978-93-325-2139-1
A-3
Similarly
(b) A ∪ C = {1, 2, 3, 4, 5, 6, 8}, A ∪ C = {2}
(c) B ∪ C = {2, 4, 5, 6, 7, 8}, B ∩ C = {6, 8}
10. Let A = {1, 5}, B = {5, 7} and C = {5, 9}
Then by definition
A ∩ B = {5}, A ∩ C = {5}
Thus, A ∩ B = A ∩ C, but B ≠ C.
11.
A
B
C
Shaded portion A ∩ C
A
B
C
Shaded portion A ∩ B
Shaded portion (A ∩ B) ∪ (A ∩ C)
A
B
C
Shaded portion A ∩ (B ∪ C)
A
B
C
12. Let U = {1, 2, 3, 4, 5, 6}, A = {1, 2, 3, 4}, B = {4, 5, 6} and C = {2, 4, 6}.
(a) A′ = The set of all elements in U that are not in A = {5, 6}
(b) B′ = The set of all elements in U that are not in B = {1, 2, 3} ...
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