WA 4 - Nicola Hodges David Walnut MATH 290-002 October 5,...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
David Walnut MATH 290-002 October 5, 2010 Writing Assignment 4 1. Prove that any sets A and B, (A x B) (B x A) = (A B) x (A B) Show, (A x B) (B x A) (A B) x (A B). Let (x,y) [ (A x B) (B x A) ]. So (x,y) (A x B) and (x,y) (B x A). Since (x,y) (A x B) then, x A and y B. Since (x,y) (B x A) then, x B and y A. Since x A and x B, (A B), Since y B and y A, (A B). Therefore, (x,y) (A B) x (A B). So, (A x B) (B x A) (A B) x (A B). Show (A B) x (A B) (A x B) (B x A). Let (x,y) [ (A B) x (A B) ]. So, x (A B) and y (A B). Since x (A B) then, x A and x B. Since y (A B) then, y A and y B. Since, x A and y B, then (x,y) (A x B). Since, x B and y A, then (x,y) (B x A). Therefore, (x,y) (A x B) (B x A). So, (A
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/05/2011 for the course MATH 290 taught by Professor Alligood,k during the Fall '08 term at George Mason.

Page1 / 3

WA 4 - Nicola Hodges David Walnut MATH 290-002 October 5,...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online