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Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a = b + 3} R3 = {(a,b) | a+b>4} a) Which of these relations are symmetric and why? If not symmetric give counter example. b) Which of these relations are reflexive and why? If not symmetric give counter example.

Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a = b + 3} R3 = {(a,b) | a+b>4} a) Which of these relations are symmetric and why? If not symmetric give counter example. b) Which of these relations are reflexive and why? If not symmetric give counter example.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a = b + 3} R3 = {(a,b) | a+b>4} a) Which of these relations are symmetric and why? If not symmetric give counter example. b) Which of these relations are reflexive and why? If not symmetric give counter example.
Transcribed Image Text:Consider following relations on the set of positive integer: R₁ = {(a,b) | a> b} R₂ = {(a,b) | a = b + 3} R3 = {(a,b) | a+b>4} a) Which of these relations are symmetric and why? If not symmetric give counter example. b) Which of these relations are reflexive and why? If not symmetric give counter example.
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