Let and . Then on :...

(b): We have and In Since in and But is not transitive. Therefore is not equivalence. In and but is not&nbs...

Let R_{1} = {(a,b) in N X N:|a - b| ? 13} and R_{2} = {(a,b) in N X N:|a - b| neq 13}. Then on N :: Relation (Mathematics)

Exam ( $28^{th\ }$ June $2^{nd\ }$ Shift 2022)

Mathematics

Let

R_{1} = \{(a,b) \in N \times N:|a - b| \leq 13\}

and

R_{2} = \{(a,b) \in N \times N:|a - b| \neq 13\}

. Then on

N

Both

R_{1}

and

R_{2}

are equivalence relations

Neither

R_{1}

nor

R_{2}

is an equivalence relation

R_{1}

is an equivalence relation but

R_{2}

is not

R_{2}

is an equivalence relation but

R_{1}

is not

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