Define $R$ to be a relation on integers such that $a\,R\,b$ if $|a-1| \leq |b-1|$. Is $R$ a partial order on $\mathbb{Z}$?

Question

How can I even prove this to be true?

Prove that $R$ is a partial order on integers.

Answer 1

Hint:

Apparantly $0R2\wedge 2R0$. Can this be true if $R$ is a partial order?