Write the contrapositive and the negation for the following statement. Hair is necessary for a comb. O A. If there is no comb, then there is hair. O B. If there is hair, then there is a comb. O C. If there is a comb, then there is no hair. OD. If there is no hair, then there is no comb. Write the negation of the statement. Choose the correct answer below. O A. There is hair and there is no comb. O B. There is a comb and there is hair. O C. There is no hair or there is no comb. O D. There is a comb and no hair. O E. If there is no hair, then there is a comb. OF. If there is no comb, then there is no hair.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Write the contrapositive and the negation for the following statement.**

**Statement:**
Hair is necessary for a comb.

**Contrapositive Options:**
- A. If there is no comb, then there is hair.
- B. If there is hair, then there is a comb.
- C. If there is a comb, then there is no hair.
- D. If there is no hair, then there is no comb.

**Write the negation of the statement. Choose the correct answer below.**

**Negation Options:**
- A. There is hair and there is no comb.
- B. There is a comb and there is hair.
- C. There is no hair or there is no comb.
- D. There is a comb and no hair.
- E. If there is no hair, then there is a comb.
- F. If there is no comb, then there is no hair.
Transcribed Image Text:**Write the contrapositive and the negation for the following statement.** **Statement:** Hair is necessary for a comb. **Contrapositive Options:** - A. If there is no comb, then there is hair. - B. If there is hair, then there is a comb. - C. If there is a comb, then there is no hair. - D. If there is no hair, then there is no comb. **Write the negation of the statement. Choose the correct answer below.** **Negation Options:** - A. There is hair and there is no comb. - B. There is a comb and there is hair. - C. There is no hair or there is no comb. - D. There is a comb and no hair. - E. If there is no hair, then there is a comb. - F. If there is no comb, then there is no hair.
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