SOLUTION: . 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

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.

RELATED QUESTIONS
Determine which, if any, of the three statements are equivalent. I) If the weather is... (answered by richwmiller)

Determine which, if any, of the three statements are equivalent. I) If the pipe is... (answered by lushis020910)

thank you. 6. Determine which, if any, of the three statements are equivalent. I) If... (answered by Theo)

Determine which, if any, of the three statements are equivalent. I) If there is no food... (answered by richwmiller)

Determine which, if any, of the three statements are equivalent. I) If the rain is... (answered by richwmiller)

Determine which, if any, of the three statements are equivalent. I) If the dog wags its... (answered by richwmiller)

Determine which, if any, of the three statements are equivalent. I) If my car does not... (answered by Edwin McCravy)