SOLUTION: Define the sets A, B, and C as follows: A = {1, 2} B = {tea, Juice} C = {bacon, toast}. Write the set A x B x C using roster notation. I fully understand what Roster N

Algebra ->  sets and operations -> SOLUTION: Define the sets A, B, and C as follows: A = {1, 2} B = {tea, Juice} C = {bacon, toast}. Write the set A x B x C using roster notation. I fully understand what Roster N      Log On


   



Question 1094279: Define the sets A, B, and C as follows:
A = {1, 2}
B = {tea, Juice}
C = {bacon, toast}.
Write the set A x B x C using roster notation.
I fully understand what Roster Notation is but I'm confused on how to do it with multiple sets.
Would it just be listing every single grouping as in {1,tea,bacon}?

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Yes, there are 8 ordered triples.  But don't put braces {} around
the ordered triples.  Each ordered triple is placed between 
parentheses (), not braces {}, and the whole set is between braces {}:

A×B×C = { (1,tea,bacon), (1,tea,toast), (1,juice,bacon), (1,juice,toast),
          (2,tea,bacon), (2,tea,toast), (2,juice,bacon), (2,juice,toast) }

Edwin