Question

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Answer 1

I got 0 idea how to solve this

Answer 2

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

Answer 3

Or how to even see which statements are true.

I got nothin'

Answer 4

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.

Answer 5

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

Answer 6

Does Z have all the elements that W has?

Answer 7

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

Answer 8

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.

Answer 9

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

Answer 10

That makes sense!! Thanks! :D

Based on that, I think #2 is true

All r is w, but all w is not r

Answer 11

Yes

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

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.

Answer 18

The symbol should look more like this.

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

Yuppers!

Answer 23

what about 5000?

Answer 24

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

Answer 25

In both directions :D

Answer 26

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

Answer 27

I think so!

Answer 28

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

Answer 29

Hmmm... maybe it means like no value?

Answer 30

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

Answer 31

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

Answer 32

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.

Answer 33

But its apart of every set, right?

Answer 34

It is a subset of every set.

Answer 35

okay! So then would that make them true?

Answer 36

Yep

Answer 37

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

Answer 38

equal

Answer 39

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

Answer 40

Is that true?
Are these the same sets?

Answer 41

I don't think so

Answer 42

Oh wait!!! I think they may be!

Answer 43

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

Answer 44

there wouldn't be any

Answer 45

what?