SOLUTION: Determine which, if any, of the three statements are equivalent. a) If today is Monday, then tomorrow is Tuesday. b) If today is not Monday, then tomorrow is not Tuesday.

Algebra ->  Average -> SOLUTION: Determine which, if any, of the three statements are equivalent. a) If today is Monday, then tomorrow is Tuesday. b) If today is not Monday, then tomorrow is not Tuesday.       Log On


   



Question 203008: Determine which, if any, of the three statements are equivalent.

a) If today is Monday, then tomorrow is Tuesday.
b) If today is not Monday, then tomorrow is not Tuesday.
c) If tomorrow is not Tuesday, then today is not Monday.

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let p="today is Monday",,,,and q= "tomorrow is Tuesday"
.
Then
.
a) if p then q
.
b) if not p then not q
,
c) if not q then not p
,
(a) and (c) are contrapositive, therefore equal
.