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.Com
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)   (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
.

RELATED QUESTIONS

My sister referred me here for your help with this logic question I missed. Please help. (answered by Edwin McCravy)
please help ) Determine which, if any, of the three statements are equivalent. a) If (answered by College Student)
Determine which, if any, of the three statements are equivalent. a) If today is Monday, (answered by Mathtut)
Determine which, if any, of the three statements are equivalent. a) If today is Monday, (answered by stanbon)
Determine which, if any, of the three statements are equivalent. Give a reason for your... (answered by Big Poop)
Determine which, if any, of the three statements are equivalent. Give a reason for your... (answered by Theo)
Please help. Thank you! Determine which, if any, of the three statements are... (answered by richwmiller)
I am actually getting myself confused here: Please Help! a.) If today is Monday, then... (answered by jim_thompson5910)
Check the converse and contrapositive implification:- a) If it is hot, then I take a... (answered by Edwin McCravy)