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2. Consider the following relations on the set of integers: R1 = {(a, b) | a < b}, R2 = {(a, b) | a > b}, R3 = {(a, b) | a = b or a = –b}, R4 = {(a, b) | a = b}, R5 = {(a, b) | a = b+ 1}, R6 = {(a, b) | a +b < 3}. %3D a. Which of the relations contain each of the pairs (1,1), (1,2), (2,1), (1,–1), and (2,2)? b. Which of the relations are reflexive? c. Which of the relations are symmetric? d. Which of the relations are transitive?

2. Consider the following relations on the set of integers: R1 = {(a, b) | a < b}, R2 = {(a, b) | a > b}, R3 = {(a, b) | a = b or a = –b}, R4 = {(a, b) | a = b}, R5 = {(a, b) | a = b+ 1}, R6 = {(a, b) | a +b < 3}. %3D a. Which of the relations contain each of the pairs (1,1), (1,2), (2,1), (1,–1), and (2,2)? b. Which of the relations are reflexive? c. Which of the relations are symmetric? d. Which of the relations are transitive?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Consider the following relations on the set of integers: R1 = {(a, b) | a < b}, R2 = {(a, b) | a > b}, R3 = {(a, b) | a = b or a = -b}, R4 = {(a, b) | a = b}, R5 = {(a, b) | a = b+1}, = {(a, b) | a + b < 3}. R6 a. Which of the relations contain each of the pairs (1,1), (1,2), (2,1), (1,–1), and (2,2)? b. Which of the relations are reflexive? c. Which of the relations are symmetric? d. Which of the relations are transitive?
Transcribed Image Text:2. Consider the following relations on the set of integers: R1 = {(a, b) | a < b}, R2 = {(a, b) | a > b}, R3 = {(a, b) | a = b or a = -b}, R4 = {(a, b) | a = b}, R5 = {(a, b) | a = b+1}, = {(a, b) | a + b < 3}. R6 a. Which of the relations contain each of the pairs (1,1), (1,2), (2,1), (1,–1), and (2,2)? b. Which of the relations are reflexive? c. Which of the relations are symmetric? d. Which of the relations are transitive?
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