I need a relation on $\Bbb R$; that is neither reflexive, nor symmetric, nor transitive.
I thought of $a$ ~ $b$ where $a=b^2+1$ (mostly)
Not reflexive because: $a^2 \neq a^2 + 1$ (mostly)
Not symmetric because: if $a=b^2+1$ then $b\neq a^2+1$ (mostly)
Not Transitive because: if $a=b^2+1$ and $b=c^2+1$ then $a\neq c^2+1$ (mostly)
I need a relation on $\Bbb R$; that is transitive and reflexive, not symmetric.
this one I'm stuck on and don't know where to start really.
$\leq %Lorem ipsum dolor sit amet$