(e) ((SNT)US) (f) U-S (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

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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(d) T-S
(e) ((SNT)US)
(f) U-S (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|-|SOT.
Show that the following are equivalent.
(a) SCT
(b) SnT=S
(c) SUT=T
Transcribed Image Text:(d) T-S (e) ((SNT)US) (f) U-S (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|-|SOT. Show that the following are equivalent. (a) SCT (b) SnT=S (c) SUT=T
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