Quiz 2: Inductive and Deductive Reasoning

In your study of geometry, you notice that every rectangle you have seen is also a square. You conclude that this is true in all cases.

True

Out your window you notice that seven elderly people have walked by on the sidewalk. You conclude that only elderly people live in your neighborhood.

True

Inductive reasoning is the process of making a specific conclusion based on general sampling.

False.

1) If it's Saturday, then Cathy's dad goes fishing. 2) Today is Saturday. Conclusion:

No conclusion can be drawn. (Just because q is correct [it is Saturday] does not necessarily mean than p is correct [ Cathy's dad goes fishing])

The contrapositive of p [arrow] q is:

The negation of q [arrow] the negation of P

Determine if the conditional statement is true or false given the following: p is false. q is false. Is p [arrow] q also false?

It is True

Deductive Reasoning is...

It is used to prove that statements are true. It is used to make general conclusions. It is used to prove basic theorems. It is used when you solve an equation in algebra.

Deductive reasoning is the process of making a conclusion by fitting a specific example into a general statement.

True

Determine if the conditional statement is true or false given the following: p is true. q is true Is the contrapositive of P and Q (negation of q [arrow] the negation of p) true or false?

True

Determine if the conditional statement is true or false given the following: p is true. q is true Is the negation of p [arrow] q true or false?

True

In your study of geometry, you notice that every square you have seen is also a rectangle. You conclude that this is true in all cases.

True.

True or False? The following is an example of inductive reasoning: You observe that it has rained on the past three Tuesdays and you conclude that it rains on every Tuesday.

True.