Study Guides (238,292)
Canada (115,058)
CPSC 233 (11)
Tony Tang (9)


2 Pages
Unlock Document

University of Calgary
Computer Science
CPSC 233
Tony Tang

1 MATHEMATICS 271 L02 WINTER 2014 QUIZ 1 Thursday, January 30, 2014 Duration: 30 minutes STUDENT ID# [5] 1. Write the negation of each of the following statements. Note that the answer \It is not the case that:::" is not acceptable. 2 (a) There exists an integer n such that n + n is odd. Solution: For every integer n, n + n is even. (b) For all real numbers x, there exists a real number y such that bx+yc = bxc+byc. Solution: There exists a real number x such that for every real number y, bx + yc =6 bxc + byc. (c) For all integers a;b, and c, if a is prime and ajbc, then ajb or ajc. Solution: There exist integers a;b, and c so that a is prime and ajbc and a6 jb and a6 jc. (d) There exists an integer m such that for all integers n, m + n is even. Solution: For every integer m there exists and integer n such that m + n is odd. (e) For every positive real number ", there exists a rational number r such that for every integer m, jm ▯ rj < ". Solution: There exists a positive real number " such that for every rational number r there exists an integer m such that jm ▯ rj ▯ ". 2
More Less

Related notes for CPSC 233

Log In


Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.