Determine if a relation is reflexive, symmetric, transitive · Discrete Math · Varsity Tutors

Discrete Math Quiz

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RELATIONS AND DISCRETE STRUCTURES

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Consider the relation

S

on

\{0, 1, 2, 3, 4, 5\}

defined by

xSy

if and only if

x^2 + y^2 \equiv 0 \pmod{5}

. What can be concluded about the properties of

S

?

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