show that the relation R in a set of natural number N is given R={(x,y):x is odd and y=2x} is an equivanlane relation
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Here x is odd number so set become
{(1,2), (3,6), (5,10), (7,14),.....}
so this relation is not reflexive because (x,x) does not belongs to R.
this relation is also not symmetric because (x,y) belongs to R but (y,x) does not belongs to R.
this relation is also not transitive because (x,y) belongs to R but (y,z) and (x,z) does not belongs to R.
so this relation is not equivalence.
MAY YOUR QUESTION IS WRONG
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