Quick question about this inequality

[kent davidge]

For concreteness, let me consider real numbers.

If $A > B$ and $B \sim C$, does it mean that $A \sim C$?

If instead $B = C$, then obviously that wouldn't imply $A = C$.

 

[kent davidge]

I already figured the answer to my question.

Simple case would be: $10.5 \sim 10$ and $100 > 10.5$. That $100 \sim 10$ is absurd.

So no.

 

[Mark44]

For concreteness, let me consider real numbers.
If $A > B$ and $B \sim C$, does it mean that $A \sim C$?

For clarity, does $B \sim C$ mean that B is approximately equal to C? I.e., is $B \approx C$?
The symbol you used can mean "congruent to" or "similar to," so it wasn't clear to me what you meant.