M325K
Quiz 1-Solutions
Name:
2/3/2010
1. (4pts) Give the converse, inverse, contrapositive, and negation of the following statement. "If it is night and the moon is full then Jane turns into a wolf." [p q r] Converse: "If Jane turns into a wolf, then it i
M325K
Section 3.3
HW 06 - Solutions to Graded Questions
(Out of 25 pts; 5pts free)
16. (4pts) Proof. Suppose a, b, and c are integers and a b and a c . By definition of divisibility, there exist integers r and s such that b = ar and c = as .Then b - c = a
M325K
Section 3.2
HW 05 - Solutions to Graded Questions
(Out of 25 points)
10. (4pts) Since m and n are integers, 5m + 12n and 4n are both integers (sums and products of integers are integers). Also since n 0 , we have 4n 0 . Thus denominator. Hence, it i
M325K
HW 02 - Solutions to Graded Questions
(Out of 25 points)
Section 1.3 23. (4pts) Its form: p q p q q ~ r
conclusion premises pq pr q ~ r ~r F T T T T T F T F T T F T T F T F T T T T T T T F F T F T F T T
p
q
r
T T T T F F F F
T T F F T T F F
T F T F
M325K
Section 1.1 8. (1pt each) b) ~ w h s c) ~ w ~ h ~ s e) w ~ ( h s )
HW 01 - Solutions to Graded Questions
(Out of 25 points)
[Note: w (~ h ~ s ) is ok too.]
9. (1pt) (n k ) ~ (n k ) 24. (3pts) p ( q r ) and ( p q ) ( p r ) are logically equivalent si