SOLUTION: 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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       Log On


   

Question 467163: 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
(Points : 4)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
statement II and III are equivalent.
statement II states:
TODAY IS NOT sunday AND TOMORROW IS NOT monday
statement III states:
IT IS NOT THE CASE THAT (today is sunday and tomorrow is monday).
THE CASE is the statement that (today is sunday and tomorrow is monday).
IT IS NOT THE CASE THAT negates the statement within the case.