Homework2 - COT 3100H Spring 2008 Homework#2 Assigned Due 1...

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

View Full Document Right Arrow Icon
COT 3100H Spring 2008 Homework #2 Assigned: 1/15/08 Due: 1/22/08 1) Prove that the fourth power of an odd integer leaves a remainder of 1 when divided by 16. (Hint: You may want to first prove that the expression a(a+1) or a(3a+1) is even for all integers a.) 2) Prove the following assertion: If x+y+z >120, then x > 40 or y > 40 or z > 40. 3) Prove this equality between two sets by using the laws of set theory AND the table method. A C A B C A A = ) ) ( ) (( 4) Let A, B and C be arbitrary sets. Prove that A (( (A B) (A C) ) ( ¬ B C)). 5) In each of these questions, assume that A, B and C are sets. a) Prove or disprove: ((A B) (B C)) (A C). b) Prove or disprove: ((A B) (A C)) ((B C) (C B)). c) Prove or disprove: If A B C , then either A B or A C . d) Prove or disprove: ( A - C ) ( C - B ) =
Background image of page 1

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

View Full DocumentRight Arrow Icon
Programming Option: If you do this program, skip the following written questions: 1, 2, 5abc
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 09/16/2011.

Page1 / 2

Homework2 - COT 3100H Spring 2008 Homework#2 Assigned Due 1...

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