Prove that $R$ is a total order

Question

Prove that $R$ is a total order

$$R=\{(x,y)\in \mathbb{R}\times \mathbb{R}~|~ x\geq y\}$$

I just need to figure out the final portion for total order. I already have it at partial order.

Thanks for the help

Answer 1

If you have it at a partial order then the remaining condition you need to check is totality, i.e., for any $(x,y) \in \mathbb{R} \times \mathbb{R}$ that $x \geq y$ or $y \geq x$.