exer2-11 - MACM 101 Discrete Mathematics I Exercises on...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: MACM 101 Discrete Mathematics I Exercises on Predicates and Quantifiers. Due: Friday, October 14th (at the beginning of the class) Reminder: the work you submit must be your own. Any collabora- tion and consulting outside resources must be explicitly mentioned on your submission. Please, use a pen. 30 points will be taken off for pencil written work. 1. Determine the truth value of each of these statements if the universe of each variable consists of all real numbers. (a) x y (( x + 2 y = 2) (2 x + 4 y = 5)); (b) x y z ( x 2 + y 2 = z 2 ). 2. Use predicates and quantifiers to express this statement Every student has chatted with at least one other student in at least one chat group. 3. Find a counterexample, if possible, to this quantified statement, where the universe for all variables consists of all integers x y ( y 2 = x ) . 4. Rewrite the following statement so that negations appear only within predicates (that is, no negation is outside a quantifier or an expression...
View Full Document

This note was uploaded on 10/14/2011 for the course MACM 101 taught by Professor Pearce during the Spring '08 term at Simon Fraser.

Page1 / 2

exer2-11 - MACM 101 Discrete Mathematics I Exercises on...

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