Let R be a relation on A = {1, 2, 3, 4}, such that: R1 = {(1,2), (3,4), (4,3), (2,1), (3,3)} R2= {(x,y)/ x > y} R3 = {(x,y) / x + y = 4} R4 = {(x,y) / x multiple of y} R5 = {(x,y)/y = 2x} R6 = {(x,y) / x + y = pair} Indicate which are reflexive, symmetric or transitive

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...
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Let R be a relation on A = {1, 2, 3, 4}, such that:

R1 = {(1,2), (3,4), (4,3), (2,1), (3,3)}

R2= {(x,y)/ x > y}

R3 = {(x,y) / x + y = 4}

R4 = {(x,y) / x multiple of y}

R5 = {(x,y)/y = 2x}

R6 = {(x,y) / x + y = pair}

Indicate which are reflexive, symmetric or transitive

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