I've been presented with a question that I actually don't understand.
The question is:
Given $$\lfloor a\rfloor\leq a<\lfloor a\rfloor+1$$ Write an inequality for $\lfloor a\rfloor$
I'm fine with the floor function - that isn't unfamiliar. And while I can read and understand what the inequality is saying above, I don't know what it means to "write an inequality for $\lfloor a\rfloor$". We need to use the inequality we get to show a further expression which is in the form:
[something]$\leq$[something]<[something], so from this I know that the inequality signs don't change in the inequality I must write, but that's all I know!
Does it mean $\lfloor a\rfloor$ has to be in the middle?