Consider the set Q = {(p, q) | p.q E Z and q 0}. Define a...
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Consider the set Q = {(p, q) | p.q E Z and q 0}. Define a relation on Q as follows: (p, q)~ (r, s) if and only if ps = qr (i.e. =). Prove that is an equivalence relation on Q. 2 9 Consider the set Q = {(p, q) | p.q E Z and q 0}. Define a relation on Q as follows: (p, q)~ (r, s) if and only if ps = qr (i.e. =). Prove that is an equivalence relation on Q. 2 9
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To prove that is an equivalence relation on Q show that it satisfies ... View the full answer
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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