Written Homework 4 Problem 1. List the ordered pairs in the relation R from A = {0,1,2,3,4} to B = {0,1,2,3), where (a, b) € R if and only if a) a = b b) a > b c) a + b = 4 d) a divides b
Written Homework 4 Problem 1. List the ordered pairs in the relation R from A = {0,1,2,3,4} to B = {0,1,2,3), where (a, b) € R if and only if a) a = b b) a > b c) a + b = 4 d) a divides b
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Iff ( if and only if) a=b. Then R = {(0,0),(1,1),(2,2),(3,3)}.
b) Iff a>b. Then R={(1,0),(2,0),(2,1),(3,0),(3,1),(3,2),(4,0),(4,1),(4,2),(4,3)}.
c) Iff a+b = 4 then R= {(1,3),(2,2),(3,1),(4,0)}.
d) Iff a divides b then R= {(1,0),(1,1),(1,2),(1,3),(2,0),(2,2),(3,0),(3,3),(4,0)}.
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