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The following statements "If you are wearing a helmet, you are riding a bike." and "If you are not riding a bike, you are not wearing a helmet." are an example of a _____ statement.Select one:a.inverseb.conversec.contrapositive

1 Answer

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Given:

The given statements are,

"If you are wearing a helmet, you are riding a bike."

"If you are not riding a bike, you are not wearing a helmet."

Required:

To identify the kind of statements.

Step-by-step explanation:

We have the given statement:

"If you are wearing a helmet, you are riding a bike."

Here, p : you are wearing a helmet

q : you are riding a bike

Thus, taking negation of both the parts of the statement as follows:

If not q, then not p.

Hence, the statement formed is,

"If you are not riding a bike, you are not wearing a helmet."

This is the contrapositive statement.

Final Answer:

Given statements are an example of contrapositive.

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