Write "1" next to the negation, "2" next to the converse, "3" next to the inverse, "4" next to the contrapositive, and "5" if it is none of the above. You may use some answers multiple times, or not at all.
1. I don't eat what I don't see.
2. I eat what I see.
3. I eat what I don't see.
4. I don't eat anything I see.
5. I don't see everything I eat.
6. I don't see what I eat.

Let's break these down in relation to a base statement, which we can assume to be:

**Base statement (P → Q)**: "I eat what I see."

Now, we will identify the negation, converse, inverse, contrapositive, or none of the above for each statement.

### 1. **I don't eat what I don't see.**
- This is the **contrapositive** of the original statement (¬Q → ¬P).
- **Answer: 4**

### 2. **I eat what I see.**
- This is the original statement, so it's **none of the above**.
- **Answer: 5**

### 3. **I eat what I don't see.**
- This is not a negation, converse, inverse, or contrapositive of the base statement. It's simply a new statement that doesn't correspond to any of the forms listed.
- **Answer: 5**

### 4. **I don't eat anything I see.**
- This is the **negation** of the original statement (¬P → Q).
- **Answer: 1**

### 5. **I don't see everything I eat.**
- This is unrelated to the logical forms of the base statement (it introduces a different subject), so it's **none of the above**.
- **Answer: 5**

### 6. **I don't see what I eat.**
- This is the **converse** of the contrapositive, and effectively an **inverse** (¬P → ¬Q).
- **Answer: 3**

Let me know if you'd like further clarification or have questions about this topic!

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Here are 5 related questions to deepen your understanding:
1. What is the contrapositive of the statement "If it rains, then I stay inside"?
2. How do the inverse and contrapositive differ in logical structure?
3. Can a statement's negation be logically equivalent to its contrapositive?
4. What happens to the truth value of a statement when you take the converse?
5. Can you find an everyday example of an inverse statement?

**Tip:** When converting between logical forms like the converse or contrapositive, remember that the contrapositive always retains the truth value of the original statement!

Write '1' next to the negation, '2' next to the converse, '3' next to the inverse, '4' next to the contrapositive, and '5' if it is none of the above. You may use some answers multiple times, or not at all. 1. I don't eat what I don't see. 2. I eat what I see. 3. I eat what I don't see. 4. I don't eat anything I see. 5. I don't see everything I eat. 6. I don't see what I eat.

This problem involves identifying negation, converse, inverse, and contrapositive forms of logical statements. Perfect for students in Grades 9-12 learning about conditional statements and logical reasoning. Understand how these concepts are applied with examples and detailed explanations.

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