Write the contrapositive and the negation for the following statement. Hair is necessary for a comb. Write the contrapositive of the statement. Choose the correct answer below. OA. If there is no comb, then there is hair. OB. If there is hair, then there is a comb. O C. If there is a comb, then there is no hair. O D. 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. OB. There is a comb and there is hair. OC. There is no hair or there is no comb. O D. There is a comb and no hair. OE. If there is no hair. then there is a comb.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Write the contrapositive and the negation for the following statement.
Hair is necessary for a comb.
Write the contrapositive of the statement. Choose the correct answer below.
O A. If there is no comb, then there is hair.
O B. If there is hair, then there is a comb.
OC. If there is a comb, then there is no hair.
O D. 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.
B.
There is a comb and there is hair.
There is no hair or there is no comb.
OC.
O D. There is a comb and no hair.
OE. If there is no hair. then there is a comb.
Transcribed Image Text:Write the contrapositive and the negation for the following statement. Hair is necessary for a comb. Write the contrapositive of the statement. Choose the correct answer below. O A. If there is no comb, then there is hair. O B. If there is hair, then there is a comb. OC. If there is a comb, then there is no hair. O D. 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. B. There is a comb and there is hair. There is no hair or there is no comb. OC. O D. There is a comb and no hair. OE. If there is no hair. then there is a comb.
Expert Solution
Step 1

Given statement :

Hair is necessary for a comb.

Now, firstly we write given statement in if...then form. That is

"If there is a comb then there is a hair."

steps

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