SOLUTION: My sister referred me here for your help with this logic question I missed. Please help. 11.(4 pts) Determine which, if any, of the three statements are equivalent. a) If tod

Algebra ->  Conjunction -> SOLUTION: My sister referred me here for your help with this logic question I missed. Please help. 11.(4 pts) Determine which, if any, of the three statements are equivalent. a) If tod      Log On


   



Question 193034: My sister referred me here for your help with this logic question I missed. Please help.
11.(4 pts) 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 Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


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. 

We go only by what we can tell from the statements only,
not using our knowledge of the days of the week.

Let p = "Today is Monday" and q = "tomorrow is Tuesday"

a) If p, then q.
b) If not p, not q.
c) If not q, then not p. 

The answer is c) is the equivalent contrapositive of a)

b) is not equivalent because it is the inverse of a).

Edwin