Recent content by bird34

And for (i) it would be R = {2,2}, {3,2}, {5,2}, {5,4}? If so, I feel like an idiot for overlooking the simplicity in this! By the way, do you know anything about a digraph?

Ok, so for (iii), the answer would only be {5,2}?

I guess maybe I don't understand after all. I get where the numbers came from for (ii), but what about the others ones? I'm lost and need an explanation. Thanks!

Homework Statement List the ordered pairs in the relation R from A = {1, 2, 3, 5} to B = {2, 4, 6, 9} where <x, y> is an element of R iff: (i) x ≥ y (ii) x – y < 2 (iii) x – y > 2 (iv) l.c.m. (x, y) = 18 (v) g.c.d. (x, y) = 3 I understand in general ordered pairs and...

Homework Statement Construct a digraph for the relations: (i) being a square of and (ii) being divisible without remainder by on the set {1, 2, 3, 4, 5}. Homework Equations The Attempt at a Solution {<1,2>, <1,3>, <1,4>, <1,5>, <2,3>, <2,4>, <2,5>, <3,4>, <3,5>, <4,5>} I am...

Thank you so much. Some of it is starting to make sense. This is all new to me, so I do have a few other questions ... I understand why the Kuratowski definition is (a, b, c) = ((a, b), c) = {{(a,b)}, {(a,b),c}} = {{{a},{a,b}},{{{a},{a,b}},c}} This makes sense and it is easy to see...

Hi, I am trying to work through ordered triples and quadruples, and I want to make sure I am on the right track. Given Kuratowski's set-theoretic definition of ordered pairs: <x,y> = df {{x},{x,y}} it seems that the definition of <a, b, c> = df <<a, b>, c> would be <a, b, c> = df{{a}, {a...