Answer
a)
converse:
if I ski tomorrow, it will snow today
contrapositive:
if it does not snow today, I will not ski tomorrow
inverse:
if I do not ski tomorrow, then it will not snow today
b)
converse:
if it is a sunny summer day, then I go to the beach
contrapositive:
if I do not go to the beach, then it is not a sunny summer day
inverse:
if it is not a sunny summer day, then I do not go to the beach
c)
converse:
if I need to sleep until noon, I stayed up late
contrapositive:
if I do not stay up late, I do not need to sleep until noon
inverse:
if I do not need to sleep until noon, then I did not stay up late
Work Step by Step
If a statement is "if p, then q," its:
converse is "if q, then p",
contrapositive is "if not p, then not q", and
inverse is "if not q, then not p."
For conditional statements a, b, and c, these statements are as follows:
a)
converse:
if I ski tomorrow, it will snow today
contrapositive:
if it does not snow today, I will not ski tomorrow
inverse:
if I do not ski tomorrow, then it will not snow today
b)
converse:
if it is a sunny summer day, then I go to the beach
contrapositive:
if I do not go to the beach, then it is not a sunny summer day
inverse:
if it is not a sunny summer day, then I do not go to the beach
c)
converse:
if I need to sleep until noon, I stayed up late
contrapositive:
if I do not stay up late, I do not need to sleep until noon
inverse:
if I do not need to sleep until noon, then I did not stay up late
