Let U = {2, 4, 5, 6, 8, 10, 12}, S = {2, 4, 5, 10}, and T = {2, 6, 8, 10}. (U is the universal set.) Determine each of the following. (a) SUT (b) SOT (c) S-T (d) T-S (e) ((SNT)US) (f) US (called the complement of S) Given that the set S contains n elements, show that S has 2" subsets. Let S stand for the number of elements in S. Show the validity of |SUT|=|S|+|T|-|SnT. . Show that the following are equivalent. (a) SCT (b) SnT=S (c) SUT=T

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Let U = {2, 4, 5, 6, 8, 10, 12}, S = {2, 4, 5, 10}, and T = {2, 6, 8, 10). (U is the
universal set.) Determine each of the following.
(a) SUT
(b) SnT
(c) S-T
(d) T-S
(e) ((SNT)US)
(f) US (called the complement of S)
. Given that the set S contains n elements, show that S has 2" subsets.
Let S stand for the number of elements in S. Show the validity of
|SUT| = |S| + |T| – |ST|.
. Show that the following are equivalent.
(a) SCT
(b) SnT=S
(c) SUT=T
Transcribed Image Text:Let U = {2, 4, 5, 6, 8, 10, 12}, S = {2, 4, 5, 10}, and T = {2, 6, 8, 10). (U is the universal set.) Determine each of the following. (a) SUT (b) SnT (c) S-T (d) T-S (e) ((SNT)US) (f) US (called the complement of S) . Given that the set S contains n elements, show that S has 2" subsets. Let S stand for the number of elements in S. Show the validity of |SUT| = |S| + |T| – |ST|. . Show that the following are equivalent. (a) SCT (b) SnT=S (c) SUT=T
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