N is the set of natural numbers. The relation R is defined on the N×N as follows a⋅bRc⋅d⇔a+d=b+c. Then, R is?

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N is the set of natural numbers. The relation R is defined on

Question

N is the set of natural numbers. The relation R is defined on the N $\times$ N as follows $_{a \cdot b} R_{c \cdot d} \Leftrightarrow a + d = b + c$ . Then, R is?

Reflexive only

Symmetric only

Transition only

An equivalence

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N is the set of natural numbers. The relation R is defined on the N

\times

N as follows

_{a \cdot b} R_{c \cdot d} \Leftrightarrow a + d = b + c

. Then, R is?

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Question Text

N is the set of natural numbers. The relation R is defined on the N

\times

N as follows

_{a \cdot b} R_{c \cdot d} \Leftrightarrow a + d = b + c

. Then, R is?