

1. 
The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called 


A. 
detachment reasoning 
B. 
conjecturing 


C. 
deductive reasoning 
D. 
inductive reasoning 


Hint 


2. 
Which law states that if and are true conditionals, then is also true? 


A. 
Law of Detachment 
B. 
Law of Conditionals 


C. 
Law of Syllogism 
D. 
Law of Deductive Reasoning 


Hint 


3. 
The ______ states that if is a true conditional and p is true, then q is true. 


A. 
Law of Conditionals 
B. 
Law of Deductive Reasoning 


C. 
Law of Detachment 
D. 
Law of Syllogism 


Hint 


4. 
If it is raining, then Sue and Ian will not go to the football game is a true conditional, and it is raining. Use the Law of Detachment to reach a logical conclusion. 


A. 
Sue and Ian will go to the football game. 
B. 
Sue and Ian will not go to the football game. 


C. 
The football game will not be played in the rain. 
D. 
Ian will go to the football game if Sue goes. 


Hint 


5. 
The statements ''If Eric reads the book, he will be prepared for the exam'' and ''If Eric is prepared for the exam, he will get a passing grade'' are two conditionals. Use the Law of Syllogism to reach a logical conclusion. 


A. 
If Eric prepares for the exam, then he will read the book. 
B. 
If Eric gets a passing grade, then he did prepare for the exam. 


C. 
no logical conclusion. 
D. 
If Eric reads the book, then he will get a passing grade. 


Hint 


