Question 475498: . Determine which, if any, of the three statements are equivalent.
I) If there is not enough time, then I will miss lunch.
II) If I will not miss lunch, then there is enough time.
III) There is enough time or I will miss lunch.
I, II, and III are equivalent
I and II are equivalent
II and III are equivalent
I and III are equivalent
None are equivalent
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! Determine which, if any, of the three statements are equivalent.
I) If there is not enough time, then I will miss lunch.
II) If I will not miss lunch, then there is enough time.
III) There is enough time or I will miss lunch.
-----
The contrapositive of a statement is equivalent to the statement.
statement I says:
If there is not enough time, then I will miss lunch.
statement II says:
If I will not miss lunch, then there is enough time.
the contrapositive form is:
if p then q = statement
if not q then not p is the contrapositive.
-----
p is equal to there is not enough time.
q is equal to i will miss lunch.
not q is equal to i will not miss lunch.
not p is equal to there is enough time.
-----
statement III is not equivalent to either one of the first two statements.
Answer to your question is:
statement I and II are equivalent.
|
|
|
