Question

The region given by the set [ (x,y) | xy ]. Which quadrants of the plane are included in the set?

Answer 1

(x,y) such that xy = ...?

Answer 2

I think I just need to know what quadrants the line could be in. I have no clue, we didn't go over this in math, but it's on my homework.

Answer 3

I'm only asking because what you posted is either incomplete or doesn't make sense. Exactly what comes after the vertical bar? Missing some important info.

Answer 4

This is exactly what it says: "Sketch the region given by the set [ (x,y) | xy ] on a piece of paper. Which quadrants of the plane are included in the set?"

Answer 5

you sure it's xy, not x=y or xy=1 or something else?

Answer 6

Oh, sorry. I'm used to seeing other conditions.

If x and y are both real numbers, the given set is the product of all possible real numbers. I'm not sure how you'd sketch that, though. Maybe just the real line?

Answer 7

Absolutely . . . unfortunately. I could figure that out.

Answer 8

Meaning that potentially all quadrants could be used?

Answer 9

That's the confusing part. Without any additional conditions, like the ones @sirm3d is referring to, you're stuck in one dimension.

Answer 10

Gotcha. I guess I'll email my teacher or something. Thanks!

Answer 11

One thing I forgot to add: the (x,y) part doesn't make sense in that case, hence my earlier confusion.

Answer 12

Okay.