Difficult# Set Theory: Definition of a Total Ordering, Identification

ABSALG-KC1LLV

A *total order* or *total ordering* on a set $S$ is a partial order $\preceq$ that satisfies the additional property, often called *Comparability*:

*If $x,y\in S$, then either $x\preceq y$ or $y\preceq x$*.

Which of the following is a *total order*?