SOLUTION: I have no idea whatsoever how to do this, and the book is no help at all (gives one example, and it's unclear). Would someone please direct me to an explanation so that I can calcu

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have no idea whatsoever how to do this, and the book is no help at all (gives one example, and it's unclear). Would someone please direct me to an explanation so that I can calcu      Log On


   



Question 926384: I have no idea whatsoever how to do this, and the book is no help at all (gives one example, and it's unclear). Would someone please direct me to an explanation so that I can calculate these? I have many to do, so pointing me to good directions would be extremely helpful.
Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1, 3), (2, 3), (2, 4), (3, 1), (3, 4), (3, 5), (4, 2), (4, 5), (5, 1), (5, 2), and (5, 4).
Find R%5E3.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Since R contains 13 elements, all ordered pairs, R%5E3 will contain
133 = 2,197 elements, all ordered triples of the ordered pairs
of R.  So they will all be of the form



where (a,b), (c,d), (e,f) ∈ R

So you could write R%5E3 in set-builder notation this way:

R%5E3%22%22=%22%22{ | (a,b), (c,d), (e,f) ∈ R}

Your teacher may accept just this simple form:

{(x,y,z)|x,y,z∈R}.

You'll have to ask your teacher what form he wants.

Edwin