8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) If tomorrow is not Monday, then today is not Sunday.
II) Today is not Sunday and tomorrow is not Monday.
III) It is not the case that today is Sunday and tomorrow is Monday.

a. I and II are equivalent
b. II and III are equivalent
c. I and III are equivalent
d. None are equivalent
e. I, II, and III are equivalent

Question

8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) If tomorrow is not Monday, then today is not Sunday.
II) Today is not Sunday and tomorrow is not Monday.
III) It is not the case that today is Sunday and tomorrow is Monday.

a. I and II are equivalent 
b. II and III are equivalent 
c. I and III are equivalent 
d. None are equivalent 
e. I, II, and III are equivalent

anonymous · Answer

please help me someone.thanks

anonymous · Answer

The answer is B, because I is a conditional statement saying that IF tomorrow is not Monday, today is not Sunday. II and III are stating the same thing (that today is not Sunday and tomorrow is not Monday). They're all logical statements, but I is a conditional statement while II and III are statements of fact.