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The Nuts and Bolts of Proofs, 4th Edition
book

The Nuts and Bolts of Proofs, 4th Edition

by Antonella Cupillari
January 2011
Beginner content levelBeginner
296 pages
11h 43m
English
Academic Press
Content preview from The Nuts and Bolts of Proofs, 4th Edition
Thus R = {(1, 1), (1, 3), (2, 2), (2, 4), (3, 3), (3, 1), (4, 4), (4, 2)}. Since there are eight pairs in R,
there will be eight arrows in the digraph.
2
4
1
3
When a set is very large, digraphs and roster notation are not very useful. In this case a theoretical
description of the relation is handier.
Exercises
1. Consider the function f : ℝ→ℝ defined as f (x)=3x
2
+1. On define the relation a is in relation with
b if and only if f (a)=f (b). Find which numbers are in relation.
2. Consider the set A ={3, 2, 1, 0, 1, 2, 3}. On A define the relation R as a i s in relation with b
if and on ly if |a|=|b|. Find which elements of A are i n relation and ...
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Publisher Resources

ISBN: 9780123822178