# Thread: [SOLVED] logic sets equvalence relation

1. ## [SOLVED] logic sets equvalence relation

urgently need help

2. Hello, srk619!

State, with reasons, whether the raltion R on $N\times N,$

. . given by $mRn\text{ if }m \geq n$ is an equivalence relation.

Reflexive: .Is $aR\,a$ for all $a?$

. . Since $a \geq\,a$ for all $a$, it is reflexive.

Symmetric: .If $aR\,b$, does $bR\,a ?$

. . If $a \geq b$, then it may or may not be true that: $b \geq a$

. . Hence: $R$ is not symmetric.

Therefore, $R$ is not an equivalence relation.

3. thanks sorban you been a great help