So the given statement is p→q
Now for a contrapositive statement, by definition we have (p→q)↔(¬q→¬p)
So ¬q means "i do not go to school" and ¬p means "it rains"
¬q→¬p means "if i do not go to school, it rains"

" /> So the given statement is p→q
Now for a contrapositive statement, by definition we have (p→q)↔(¬q→¬p)
So ¬q means "i do not go to school" and ¬p means "it rains"
¬q→¬p means "if i do not go to school, it rains"

" />
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Question:

The contrapositive of the statement 'I go to school if it does not rain' is:

If I do not go to school, it rains.

If it rains, I go to school.

If i go to school, it rains.

If it rains, I do not go to school.

Solution:

In the given statement, let p denote the part "it does not rain" and q denote the part "i go to school"
So the given statement is p→q
Now for a contrapositive statement, by definition we have (p→q)↔(¬q→¬p)
So ¬q means "i do not go to school" and ¬p means "it rains"
¬q→¬p means "if i do not go to school, it rains"