1. Suppose A = {1,2, 3, 4} and the relation R on A is R = {(1,1), (2, 2), (3,3), (3, 4), (4, 4)} (a) Determine if R is an equivalence relation or not. Show your reasons. (b) Let the relation S be S = RU{(4, 3)}. Find the quotient set A/S.
1. Suppose A = {1,2, 3, 4} and the relation R on A is R = {(1,1), (2, 2), (3,3), (3, 4), (4, 4)} (a) Determine if R is an equivalence relation or not. Show your reasons. (b) Let the relation S be S = RU{(4, 3)}. Find the quotient set A/S.
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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