## ajprincess Group Title Please help:) What does this mean? $$\exists x, y \in Z \ni d=ax+by$$ one year ago one year ago

1. wio Group Title

Well $$\mathbb{Z}$$ means integers... that is ... -3, -2, -1, 0, 1, 2, 3, ...

2. ajprincess Group Title

ya actually I want to knw what the symbol $$\ni$$ means?

3. wio Group Title

So you're saying there exist the integers x, and y, where if you multiply by a and b, you end up with another integer.

4. wio Group Title

It's just "in this set"

5. wio Group Title

and "in the integer set" basically means "is an integer"

6. wio Group Title

The $$\exists$$ symbol means that the number/thingy exists.

7. wio Group Title

and it satisfies whatever equation/properties/etc follow

8. ajprincess Group Title

So that means there exist integers x and y such that ax+by=d is also an integer. Am I right?@wio

9. wio Group Title

I would translate that expression to say: "There exists two integers, $$x$$ and $$y$$, such that $$ax+by$$ is an integer.

10. wio Group Title

@ajprincess Yeah. I think the $$d$$ is just there for the sake of saying the result is an integer.

11. ajprincess Group Title

oh k. thanx a lot:)