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Let A = {red, blue} and let B = {3, 4, 5}. Find A X B.
A) {red, blue, 3, 4, 5}
B) {(red, 3), (red, 4), (red, 5), (blue, 3), (blue, 4), (blue, 5)}
C) { }
D) {red, blue}
 one year ago
 one year ago
Let A = {red, blue} and let B = {3, 4, 5}. Find A X B. A) {red, blue, 3, 4, 5} B) {(red, 3), (red, 4), (red, 5), (blue, 3), (blue, 4), (blue, 5)} C) { } D) {red, blue}
 one year ago
 one year ago

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theEricBest ResponseYou've already chosen the best response.1
Relations aren't that hard to get, actually! I suppose you know that all the elements of \[A \times B\] are coordinate pairs, such as \[(a,b)\]. Specifically, \[a\] is an element in \[A\]. I mean, \[a \in A\]. And \[b\] is an element in \[B\]. I mean, \[b \in B\]. When you try to find \[A \times B\] you want to create all the ordered pairs that exist, as long as they satisify what I just said, where\[a \in A\]and\[b\in B\]
 one year ago

theEricBest ResponseYou've already chosen the best response.1
So pick any element in A.
 one year ago

ilovenycBest ResponseYou've already chosen the best response.0
@theEric so the answer is A
 one year ago

theEricBest ResponseYou've already chosen the best response.1
Not quite! When you think of \[AxB\], you have to think a coordinate pair like \[(somethingFromA, somethingFromB)\]
 one year ago

theEricBest ResponseYou've already chosen the best response.1
I meant \[A \times B\], sorry!
 one year ago

theEricBest ResponseYou've already chosen the best response.1
Pick any element in A.
 one year ago

theEricBest ResponseYou've already chosen the best response.1
Actually, for this multiple choice question, all you need to know is that \[A \times B\] has elements and they are coordinate pairs...
 one year ago

ilovenycBest ResponseYou've already chosen the best response.0
@theEric so then whats the answer
 one year ago

theEricBest ResponseYou've already chosen the best response.1
I want you to understand it.
 one year ago

theEricBest ResponseYou've already chosen the best response.1
I'm imposing my view upon you, I know.. But understanding things like this will be essential to understanding things later.
 one year ago

theEricBest ResponseYou've already chosen the best response.1
I'm willing to walk you through a similar problem.
 one year ago

theEricBest ResponseYou've already chosen the best response.1
\[(a \in A, b \in B)\] Example:\[(red,3)\]
 one year ago

ilovenycBest ResponseYou've already chosen the best response.0
@theEric okay I did the work, and I came up with B, am i right?
 one year ago

theEricBest ResponseYou've already chosen the best response.1
\[red \in A\]and\[3 \in B\]so \[(red,3)\]is one of those ordered pairs in \[A \times B\].
 one year ago

theEricBest ResponseYou've already chosen the best response.1
If you understand that last thing I said, you'll know whether you have the answer or not! If you understand "relations" you'll know what set would have to be the relation. Would you like a hand with anything?
 one year ago
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