Here's the question you clicked on:
PixieDust1
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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'
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.
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
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.
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
Well the real numbers are definitely not a subset of the whole numbers.
The real numbers include numbers that aren't in the set of whole numbers like sqrt(5) and pi and so on...
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?
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.
|dw:1387243116999:dw| The symbol should look more like this.
Yeah, I used the standard keyboard symbol for the regular e. The e you drew is what it was suppose to look like :)
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?
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.
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
\[\emptyset=\{ \text{ } \}=\text{ empty set } \] This basically means there are no elements contained within the set.
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.
But its apart of every set, right?
It is a subset of every set.
okay! So then would that make them true?
Cool! I didn't understand what the line under the c on the next one is
|dw:1387243554944:dw|
Like I'm saying that equal sign means they could be equal. Like they have the same exact elements in both sets.
Is that true? Are these the same sets?
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
The whole numbers are defined for you in your problem
Isn't 0,1,2 etc whole numbers?
Yes so back to your question, |dw:1387243864499:dw| are these the same sets on both sides of that "weird symbol"?
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)
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)
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.
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
Thank you SOOOOO much for helping me out!
I really understand this now
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