Let and be two relations defined on by and . Then,...

For reflexive which is true. For symmetric If If and Then \& but is not true ⇒ not transitive relation. is not equivalence...

Let R_{1} and R_{2} be two relations defined on R by aR_{1}b rightarrow ab ? 0 and aR_{2}b rightarrow a ? b. Then,: Relation (Mathematics)

Exam ( $27^{th\ }$ July $1^{st\ }$ Shift 2022)

Mathematics

Let

R_{1}

and

R_{2}

be two relations defined on

R

aR_{1}b \Leftrightarrow ab \geq 0

and

aR_{2}b \Leftrightarrow a \geq b

. Then,

R_{1}

is an equivalence relation but not

R_{2}

R_{2}

is an equivalence relation but not

R_{1}

both

R_{1}

and

R_{2}

are equivalence relations

neither

R_{1}

nor

R_{2}

is an equivalence relation

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