9. (9 points) Define a relation R on Z as follows: For all integers m and n, m Rn ↔m>n. a) Find two pairs (m, n) which satisfy R. b) Show that R is not reflexive. c) Show that R is transitive. Do NOT just list numerical examples.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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define a relation R on Z as follows for all integers m and n ,mRn m>n

9. (9 points) Define a relation R on Z as follows: For all integers m and n, m Rn ↔m>n.
a) Find two pairs (m, n) which satisfy R.
b) Show that R is not reflexive.
c) Show that R is transitive. Do NOT just list numerical examples.
Transcribed Image Text:9. (9 points) Define a relation R on Z as follows: For all integers m and n, m Rn ↔m>n. a) Find two pairs (m, n) which satisfy R. b) Show that R is not reflexive. c) Show that R is transitive. Do NOT just list numerical examples.
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