18. Write the negation of the conditional statement. If it is purple, then it is not spinach.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Problem 18: Negation of a Conditional Statement**

The task is to write the negation of the provided conditional statement.

**Given Conditional Statement:**

- "If it is purple, then it is not spinach."

**Choose the correct negation below:**

- **A.** It is purple or it is spinach.
- **B.** It is purple and it is spinach.
- **C.** If it is not purple, then it is spinach.
- **D.** It is not purple and it is spinach.

For educational purposes, remember that the negation of a conditional statement "If P, then Q" is "P and not Q." Therefore, the correct negation here would be:

- **B.** It is purple and it is spinach.
Transcribed Image Text:**Problem 18: Negation of a Conditional Statement** The task is to write the negation of the provided conditional statement. **Given Conditional Statement:** - "If it is purple, then it is not spinach." **Choose the correct negation below:** - **A.** It is purple or it is spinach. - **B.** It is purple and it is spinach. - **C.** If it is not purple, then it is spinach. - **D.** It is not purple and it is spinach. For educational purposes, remember that the negation of a conditional statement "If P, then Q" is "P and not Q." Therefore, the correct negation here would be: - **B.** It is purple and it is spinach.
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