Explain why each statement might be true or might be untrue. Tell if each is an example of inductive or deductive reasoning? Justify your answers.
1. All men are mortal. Joe is a man. Therefore Joe is mortal. If the first two statements are
true, then the conclusion must be true.2
2. To get a high school diploma from The Ogburn School, a student must have 24 credits.
Cindy has more than 24 credits. Therefore, Cindy must have a high school diploma.
3. This cat is black. That cat is black A third cat is black. Therefore all cats are black.
4. This marble from the bag is black. That marble from the bag is black. A third marble from
the bag is black. Therefore all the marbles in the bag are black.
5. For problems A-E, write the converse, inverse, and contrapositive statements based on the
given conditional statement.
A. If I own a dog, then I own an animal.
Converse:
Inverse:
Contrapositive:B. If I go to be early, then I sleep well.
Converse:
Inverse:
Contrapositive:
C. If this is Thursday, then I do not go to church.
Converse:
Inverse:
Contrapositive:
D. If today is Wednesday, the yesterday was Tuesday.
Converse:
Inverse:
Contrapositive:
E. If 5x = 10, then x = 2.
Converse:
Inverse:
Contrapositive