Question 1:
Determine whether each of the following is a rational number
- 64.1234234234234...
- the product of two rational numbers
- the square of any rational number
Question 2:
use the negation of quantified statements to rewrite the following without using the words necessary of sufficient
- High income is not necessary to have a good live
- Taking the medicine is not sufficient to heal
Question 3:
Give the contrapositive, converse and inverse of the following:
- for all computer programs P, id P is correct then it compiles without error
- if the square of an integer number is even then the number is even
Question 4:
Prove the following:
- for all integers a,b and c if a|b and a|c then a|(a-b).
- the sum o any three consecutive numbers is divisible by 3
- for any integer n, n(n^2 -1)(n+2) is divisible by 4
Lecturer: Dr. Atalla I. Hashad
2008
Discrete Structure
Posted - 04/23/2009 : 07:19:18
