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Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...}.
Wc Z
R cW
0e Z
Øc R
{0, 1, 2, ...}c W  c had line underneath is
2 eW
 4 months ago
 4 months ago
Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...}. Wc Z R cW 0e Z Øc R {0, 1, 2, ...}c W  c had line underneath is 2 eW
 4 months ago
 4 months ago

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PixieDust1Best ResponseYou've already chosen the best response.1
I got 0 idea how to solve this
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
You don't have to solve anything. It is is asking which of the below statements are true.
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Or how to even see which statements are true. I got nothin'
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
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.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
So let's look at the first statement "W is a subset of Z" Do you think that is true?
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Does Z have all the elements that W has?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
It looks true to me!! All w are z, but not all z are w
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
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.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Do you think the real numbers are a subset of the whole numbers?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
That makes sense!! Thanks! :D Based on that, I think #2 is true All r is w, but all w is not r
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Well the real numbers are definitely not a subset of the whole numbers.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
The real numbers include numbers that aren't in the set of whole numbers like sqrt(5) and pi and so on...
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Now you could say the whole numbers is a subset of the real numbers.
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Oh i forgot! Silly me! I get confused very quickly. That makes sense to me!
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
What does the "e" mean on the next one?
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
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.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
dw:1387243116999:dw The symbol should look more like this.
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Yeah, I used the standard keyboard symbol for the regular e. The e you drew is what it was suppose to look like :)
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
So that statement is asking you if you think that element 0 is in the set of integers
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
The integers are {...,3,2,1,0,1,2,3...} Do you think 0 is in that set?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Yup! Forever and ever and ever and ever and ever ....
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
In both directions :D
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Those dots mean it continues on in both directions.. Good stuff. Okay so that one you say is true.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
So do you know what that other symbol means in the next statement?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Hmmm... maybe it means like no value?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
I saw it in the textbook, but they never told us what it meant They just started using it
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
\[\emptyset=\{ \text{ } \}=\text{ empty set } \] This basically means there are no elements contained within the set.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
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.
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
But its apart of every set, right?
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
It is a subset of every set.
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
okay! So then would that make them true?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Cool! I didn't understand what the line under the c on the next one is
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
dw:1387243554944:dw
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Like I'm saying that equal sign means they could be equal. Like they have the same exact elements in both sets.
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Is that true? Are these the same sets?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Oh wait!!! I think they may be!
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
So what is the whole numbers then if it isn't {0,1,2,...}
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
there wouldn't be any
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
The whole numbers are defined for you in your problem
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Isn't 0,1,2 etc whole numbers?
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Yes so back to your question, dw:1387243864499:dw are these the same sets on both sides of that "weird symbol"?
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
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)
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
oh! So it's kinda like an equal sign (in a way)? If so, I think this is true
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
Yep It means it can be a subset of that set or subset of that set that is that set (or equal)
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
The last one, can you tell me the answer?
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
For the last one, i think it is false. 2 is not equal to W (a whole number)
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
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.
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Oh yeah! Because its the element that includes the entire w
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
People sometimes use this notation to say it is not an element of : dw:1387244283183:dw
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
They just put a mark through the sign that means an element of to say that it is not an element of
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Thank you SOOOOO much for helping me out!
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
I really understand this now
 4 months ago

myininayaBest ResponseYou've already chosen the best response.3
No problem. Cool stuff. I'm glad you do. May the force be with you in your future math studies!
 4 months ago

PixieDust1Best ResponseYou've already chosen the best response.1
Thanks! Have an awesome day :D
 4 months ago
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