1. (a)
(b)
(c)
(d) 2 is even.
(d) E(2)
(e)
2. Fill in the blanks with the shortest string of characters so that the resultant proposition is valid.
(a) ,
(b)
(c)
(d) 0
3 (a)
(b)
1
4. Find the converse and contrapositive for each of the following propositions:
Converses:
(a) If an argument is not valid, then it is wrong.
(b) If
the largest number in a list of numbers can be found quickly, then the list is sorted.
(c) if 3 is not divisible by 2, then it is a prime number.
Contrapositives:
(a) If an argument is valid, then it is not wrong.
(b) If
the largest number in a list of numbers can not be found quickly, then the list is not sorted.
(c) if 3 is divisible by 2, then it is not a prime number.