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I got 0 idea how to solve this

You don't have to solve anything. It is is asking which of the below statements are true.

Or how to even see which statements are true.
I got nothin'

So let's look at the first statement "W is a subset of Z"
Do you think that is true?

Does Z have all the elements that W has?

It looks true to me!! All w are z, but not all z are w

Do you think the real numbers are a subset of the whole numbers?

That makes sense!! Thanks! :D
Based on that, I think #2 is true
All r is w, but all w is not r

Yes

Well the real numbers are definitely not a subset of the whole numbers.

Now you could say the whole numbers is a subset of the real numbers.

Oh i forgot! Silly me! I get confused very quickly.
That makes sense to me!

What does the "e" mean on the next one?

|dw:1387243116999:dw|
The symbol should look more like this.

So that statement is asking you if you think that element 0 is in the set of integers

The integers are {...,-3,-2,-1,0,1,2,3...}
Do you think 0 is in that set?

Yuppers!

what about 5000?

Yup! Forever and ever and ever and ever and ever ....

In both directions :D

Those dots mean it continues on in both directions.. Good stuff. Okay so that one you say is true.

I think so!

So do you know what that other symbol means in the next statement?

Hmmm... maybe it means like no value?

I saw it in the textbook, but they never told us what it meant They just started using it

But its apart of every set, right?

It is a subset of every set.

okay! So then would that make them true?

Yep

Cool! I didn't understand what the line under the c on the next one is

equal

|dw:1387243554944:dw|

Is that true?
Are these the same sets?

I don't think so

Oh wait!!! I think they may be!

So what is the whole numbers then if it isn't {0,1,2,...}

there wouldn't be any

what?

The whole numbers are defined for you in your problem

Isn't 0,1,2 etc whole numbers?

Oh yeah!

oh! So it's kinda like an equal sign (in a way)?
If so, I think this is true

Yep
It means it can be a subset of that set or subset of that set that is that set (or equal)

The last one, can you tell me the answer?

For the last one, i think it is false. -2 is not equal to W (a whole number)

Oh yeah! Because its the element that includes the entire w

People sometimes use this notation to say it is not an element of :
|dw:1387244283183:dw|

They just put a mark through the sign that means an element of to say that it is not an element of

Oh wow

Thank you SOOOOO much for helping me out!

I really understand this now

:D

No problem. Cool stuff. I'm glad you do. May the force be with you in your future math studies!

Thanks! Have an awesome day :D