Write the converse, inverse, and contrapositive of the following statement. If he is not mad, then he does not want to smile. The converse of the given statement is which of the following? OA. If he is mad, then he wants to smile. OB. If he wants to smile, then he is mad. OC. He is mad or he does not want to smile. OD. If he does not want to smile, then he is not mad. The inverse of the given statement is which of the following? OA. If he wants to smile, then he is mad. OB. He is mad or he does not want to smile. OC. If he does not want to smile, then he is not mad. OD. If he is mad, then he wants to smile. The contrapositive of the given statement is which of the following? OA. If he does not want to smile, then he is not mad. OB. He is mad or he does not want to smile. OC. If he wants to smile, then he is mad. D. If he is mad, then he wants to smile.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write the converse, inverse, and contrapositive of the following statement.
If he is not mad, then he does not want to smile.
The converse of the given statement is which of the following?
OA. If he is mad, then he wants to smile.
OB. If he wants to smile, then he is mad.
OC. He is mad or he does not want to smile.
OD. If he does not want to smile, then he is not mad.
The inverse of the given statement is which of the following?
OA. If he wants to smile, then he is mad.
OB. He is mad or he does not want to smile.
OC. If he does not want to smile, then he is not mad.
OD. If he is mad, then he wants to smile.
The contrapositive of the given statement is which of the following?
OA. If he does not want to smile, then he is not mad.
OB. He is mad or he does not want to smile.
OC. If he wants to smile, then he is mad.
D. If he is mad, then he wants to smile.
Transcribed Image Text:Write the converse, inverse, and contrapositive of the following statement. If he is not mad, then he does not want to smile. The converse of the given statement is which of the following? OA. If he is mad, then he wants to smile. OB. If he wants to smile, then he is mad. OC. He is mad or he does not want to smile. OD. If he does not want to smile, then he is not mad. The inverse of the given statement is which of the following? OA. If he wants to smile, then he is mad. OB. He is mad or he does not want to smile. OC. If he does not want to smile, then he is not mad. OD. If he is mad, then he wants to smile. The contrapositive of the given statement is which of the following? OA. If he does not want to smile, then he is not mad. OB. He is mad or he does not want to smile. OC. If he wants to smile, then he is mad. D. If he is mad, then he wants to smile.
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