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- PixieDust1

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- Stacey Warren - Expert brainly.com

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- katieb

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- PixieDust1

I got 0 idea how to solve this

- myininaya

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

- PixieDust1

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

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## More answers

- myininaya

Every set is a subset of itself. - Empty set is a subset of every set. - Other Example: If A={1,2,3} and B={1,2} B is a subset of A because A has all of B's elements. A is not a subset of B because B does not have all the elements A has.

- myininaya

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

- myininaya

Does Z have all the elements that W has?

- PixieDust1

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

- myininaya

Yep that statement is true. Integers={...,-3,-2,-1,0,1,2,3,...} W={0,1,2,...} As we see the set of W is a subset of Z because W has the elements 0,1,2,... and these elements are also in Z. Now Z is not a subset of W because W does not have all the elements Z has.

- myininaya

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

- PixieDust1

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

- PixieDust1

Yes

- myininaya

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

- myininaya

The real numbers include numbers that aren't in the set of whole numbers like sqrt(5) and pi and so on...

- myininaya

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

- PixieDust1

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

- PixieDust1

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

- myininaya

I think your e there is suppose to mean an element of, but that isn;'t the traditional symbol for it that you are using.

- myininaya

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

- PixieDust1

Yeah, I used the standard keyboard symbol for the regular e. The e you drew is what it was suppose to look like :)

- myininaya

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

- myininaya

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

- PixieDust1

Yuppers!

- myininaya

what about 5000?

- PixieDust1

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

- PixieDust1

In both directions :D

- myininaya

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

- PixieDust1

I think so!

- myininaya

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

- PixieDust1

Hmmm... maybe it means like no value?

- PixieDust1

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

- myininaya

\[\emptyset=\{ \text{ } \}=\text{ empty set } \] This basically means there are no elements contained within the set.

- myininaya

It is totally empty and no you do not say 0 is element of the empty set. There are no elements in the empty set not even 0.

- PixieDust1

But its apart of every set, right?

- myininaya

It is a subset of every set.

- PixieDust1

okay! So then would that make them true?

- myininaya

Yep

- PixieDust1

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

- myininaya

equal

- PixieDust1

|dw:1387243554944:dw|

- myininaya

Like I'm saying that equal sign means they could be equal. Like they have the same exact elements in both sets.

- myininaya

Is that true? Are these the same sets?

- PixieDust1

I don't think so

- PixieDust1

Oh wait!!! I think they may be!

- myininaya

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

- PixieDust1

there wouldn't be any

- myininaya

what?

- myininaya

The whole numbers are defined for you in your problem

- PixieDust1

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

- myininaya

Yes so back to your question, |dw:1387243864499:dw| are these the same sets on both sides of that "weird symbol"?

- PixieDust1

Oh yeah!

- myininaya

that little line just means they can have all the exact same elements (talking about both sets; both sets can be exactly the same when you have symbol)

- PixieDust1

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

- myininaya

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

- myininaya

The last one, can you tell me the answer?

- PixieDust1

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

- myininaya

You are right to say false. But doesn't say "-2 is not equal to W" Say "-2 is not en element of W" This just means the set W does not include -2 as an element.

- PixieDust1

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

- myininaya

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

- myininaya

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

- PixieDust1

Oh wow

- PixieDust1

Thank you SOOOOO much for helping me out!

- PixieDust1

I really understand this now

- PixieDust1

:D

- myininaya

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

- PixieDust1

Thanks! Have an awesome day :D

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