Let M be the set of all functions from N to N . Let us define a relation R on M as follows, R = { ( f , g ) ∈ M × M : f ( 2 ) = g ( 2 ) or f ( 10 ) = g ( 10 ) } . Which of the options are correct? M is a transitive relation. M is a reflexive relation. M is a symmetric relation. M is an equivalence relation.
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Step-by-step explanation:
f ( 2 ) = g ( 2 ) or f ( 10 ) = g ( 10 )
THIS HOLDS FOR ALL THE NATURAL NUMBERS
tHE DEFINED R ON M IS SYMMETRIC RELATION
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