Question

Let A = {red, blue} and let B = {3, 4, 5}. Find A X B.

Answer 1

A X B is the set of all things that look like this (a,b) where 'a' comes from A and 'b' comes from B

For example, one such thing that lives in the set A X B is (blue, 4)

Answer 2

Another example: (red, 5)

Answer 3

ok, first lets find out how many elements will be there in AXB
if there are 'n' elements in A and 'm' elements in B, then the elements in AXB will be mn.
so what will be the number of elements in your final set AXB ?

Answer 4

woahhhhh im got really confused!!!

Answer 5

ok, so there are 2 elements in A, right? and 3 in B
what i was saying is that there will be 3*2=6 elements in AXb
ok with this ?

Answer 6

lol..i really dont understand ill stop the question..because its to difficult for me ill ask my teacher about that question but thank you anyways! :D

Answer 7

lets begin finding AXB.
PICK one element of A , and put it together with element of B
say we pick red, then first 3 elements of AXB can be found like this :
(red,3),(red,4) and (red,5)
ok till here?

Answer 8

Yeah that's probably best, but basically A X B is the set of all ordered pairs or points where the first coordinate comes from A and the second coordinate comes from B

Answer 9

i think she doesn't care anymore.

Answer 10

So...

A X B = { (red,3), (red,4), (red,5), (blue,3), (blue,4), (blue,5) }

Think of it all the possible ways to make combos with the two sets