1. ## Subset

Diagram:-
ImageShack - Image Hosting :: 16012009078os8.jpg

Since irrational numbers are subsets of real numbers.

Are irrational numbers subsets of rational number,natural numbers ,whole numbers and integers?

Why {0} and J are not subsets please explain?

2. Originally Posted by mj.alawami
Diagram:-
ImageShack - Image Hosting :: 16012009078os8.jpg

Since irrational numbers are subsets of real numbers.

Are irrational numbers subsets of rational number,natural numbers ,whole numbers and integers?
no, no, no and no. natural numbers, whole numbers and integers are all rational. irrational means not rational.

Why {0} and J are not subsets please explain?
what's "J"?

3. Originally Posted by Jhevon
no, no, no and no. natural numbers, whole numbers and integers are all rational. irrational means not rational.

what's "J"?
Look at the diargram in the url
Integer is represented by the letter J

4. Originally Posted by mj.alawami
Look at the diargram in the url
Integer is represented by the letter J
*Ahem* .... Please "look at the diargram (sic) in the url"

Some people dislike having to open links - especially when the link takes some moments to open and you get unwanted pop-ups.

Try to show a few more manners towards people who are attempting to help you - help you for free I might add. "Integer is represented by the letter J" would have sufficed. With perhaps the first sentence replaced by something like Thanks for taking the time to read my question and reply.

5. Originally Posted by mj.alawami
Look at the diargram in the url
Integer is represented by the letter J
oh, ok. it is usually $\mathbb{Z}$ that is used to represent the integers, so i was wondering.

anyway, {0} is a subset of J. of course, not the other way around.

however, the way you phrased the last question also seems strange. why are they not subsets of what, the irrationals? some other set? you can't just say "subset" like that, you have to say subset of some set. the previous questions ask about the irrationals, so i am inclined to think that's what you're talking about, but you have to say that, otherwise i am not sure.

by the way, do you know what the word "subset" means? if i told you i have 2 nonempty sets, A and B, and i said, "A is a subset of B", what exactly am i saying?