Posted by **Pat** on Monday, September 17, 2012 at 6:18pm.

Let p -> q represent the conditional statement All hummingbirds love nectar.

This is equivalent to p = If it is a hummingbird and q = then it loves nectar.

State your answers to the questions below both in words and in symbols.

1. What is the contrapositive of this statement?

2. What is the converse of this statement?

3. What is the inverse of this statement?

4. What is the negation of this statement?

Can you give an answer to the same four questions if the original statement is "If it freezes in Sept., then the tomato plants stop producing. For this second example, let r -> s represent this conditional statement.

5. What is the contrapositive of this statement?

6. What is the converse of this statement?

7. What is the inverse of this statement?

8. What is the negation of this statement?

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