Kenneth Rosen Edition 6th Exercise 1.1 Question 17 (Page No. 18)

Question

For each of these sentences, state what the sentence means if the logical connective or is an inclusive or (that is, a disjunction) versus an exclusive or. Which of these meanings of or do you think is intended?

• A. To take discrete mathematics, you must have taken calculus or a course in computer science.
• B. When you buy a new car fromAcme Motor Company, you get $2000 back in cash or a 2% car loan.
• C. Dinner for two includes two items from column A orthree items from column B.
• D. School is closed if more than 2 feet of snow falls or if the wind chill is below −100.

Answer 1

A.) Inclusive OR

B.) Exclusive OR

C.) Exclusive OR

D.) Inclusive OR

Answer 2

A) Inclusive-OR: To take discrete mathematics, you must have taken calculus or a course in computer science or both.

Exclusive-OR: To take discrete mathematics, you must have taken calculus or a course in computer science but not both.

In this statement $or$ intends , Inclusive-OR. 

B) Inclusive-OR: When you buy a new car fromAcme Motor Company, you get $2000 back in cash or a 2% car loan or both.

Exclusive-OR: When you buy a new car fromAcme Motor Company, you get $2000 back in cash or a 2% car loan but not both.

In this statement $or$ intends , Exclusive-OR. 

C) Inclusive-OR: Dinner for two includes two items from column A orthree items from column B or both. 

Exclusive-OR: Dinner for two includes two items from column A orthree items from column B but not both. 

In this statement $or$ intends , Exclusive-OR. 

D) Inclusive-OR: School is closed if more than 2 feet of snow falls or if the wind chill is below −100 or both. 

Exclusive-OR: School is closed if more than 2 feet of snow falls or if the wind chill is below −100 but not both. 

In this statement $or$ intends , Inclusive-OR.