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.
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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.
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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.
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statement III is not equivalent to either one of the first two statements.
Answer to your question is:
statement I and II are equivalent.