I just took a test and was wondering if someone could check a few of my answer. If they are wrong could you give me a brief explanation. My answers are after the question. Thanks
1. Which of the following is a countably infinite set.
a) Real Numbers
b) Integers
c) Rational numbers
d) Irrational numbers
e) Complex number
Answer a
2) Statement r is true while s is false.
Which is false?
Answer C
3) Which of the following statements is logically equivalent to ?
Answer D
U 1,2,3...12 A=2,4,6,8,10 B=1,3,5,7,9 C=1,2,3,4
Which of the following set is specified by where x denotes that c is a complement of x
1,2,3,4
11,12
0
1...9
5...12
Answer B
question (1) has been answered correctly,and also the 1st part of question (3).
Now for question (2) we have that:
only ( T----->F) is false. All other possibilities are true.
According to that none of the cases in question 3 are false unless there is a typo mistake.
For the 2nd part of question 3 we have that:
A ={ 2,4,6,8,10} =Φ( the empty set).
And : (A )'= Φ' = U
My sentence:
(only ( T----->F) is false. All other possibilities are true)
was referring to the possibilities of T,F In a conditional statement in propositional logic.
The above emanates from the definition of a conditional statement.
Now coming to your case :
Do you want to know :
a) whether the conditional r------>~s is true ,or
b) r logically implies ~s .
Finally the correct statement is;
None of the dogs is a reptile