I'm learning about monotonicity and I can't seem to figure out what larger $x$ is and what is smaller $x$.
If I strictly prefer larger x when until $x<10$, what does that mean?
Context
The question is; Ben likes to drink beer. Let $x$ belonging to $[0, 20] = X$ be the possible number of beers he drinks. He strictly prefers larger $x$ until $x<10$ but he feels sick if $x\ge 10$. So he strictly prefers $x=0$ to any $x\ge 10$.
I've scoured the internet and can't find anything on what it means. Does it just mean that if he prefers larger x, he prefers a higher number? And if he prefers smaller $x$, he prefers a smaller number?
The topic comes under consumer theory, microeconomics.
It means that if he has to chose between 3 beer and 4, he's gonna chose 4 (because it's larger that 3)
If he have to chose between 7 and 10, he will chose 7 though! Because otherwise he feels sick
Is it clear?