Relation and Their properties - Composite

Grillakis

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Apr 22, 2009
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I am confused on what to do when dealing with composite.

R1 = {(a, b) R^2 | a > b}, the "greater than" relation
R2 = {(a, b) R^2 | a > b}, the "greater than or equal to" relation
R3 = {(a, b) R^2 | a < b}, the "less than" relation
R4 = {(a, b) R^2 | a < b}, the "less than or equal to" relation
R5 = {(a, b) R^2 | a = b}, the "equal to" relation
R6 = {(a, b) R^2 | a not-equal b}, the "not equal to" relation

Find:
a.) R1 o R1

b.) R1 o R2

c.) R1 o R3

d.) R1 o R4

e.) R1 o R5

f.) R1 o R6

g.) R2 o R3

h.) R3 o R3
 
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