1. Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form “if p, then q." Example: I will pass the course if I come to class. Answer: Original statement: If I come to class, then I will pass the course. Converse: If I pass the course, then I will come to class. Inverse: If I do not come to class, then I will not pass the course. Contrapositive: If I do not pass the course, then I will not come to class. a. When it stays warm for a week, the cherry trees bloom. b. Being at least 18 years of age is necessary to get a driver's license. c. To be eligible for the honors program, it is sufficient to maintain a 3.4 GPA.
1. Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form “if p, then q." Example: I will pass the course if I come to class. Answer: Original statement: If I come to class, then I will pass the course. Converse: If I pass the course, then I will come to class. Inverse: If I do not come to class, then I will not pass the course. Contrapositive: If I do not pass the course, then I will not come to class. a. When it stays warm for a week, the cherry trees bloom. b. Being at least 18 years of age is necessary to get a driver's license. c. To be eligible for the honors program, it is sufficient to maintain a 3.4 GPA.
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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Transcribed Image Text:1.
Write each of the following conditional statements and the corresponding
converse, inverse, and contrapositive as English sentences in the form “if p, then q."
Example: I will pass the course if I come to class.
Answer.
Original statement: If I come to class, then I will pass the course.
Converse: If I pass the course, then I will come to class.
Inverse: If I do not come to class, then I will not pass the course.
Contrapositive: If I do not pass the course, then I will not come to class.
a. When it stays warm for a week, the cherry trees bloom.
b. Being at least 18 years of age is necessary to get a driver's license.
c. To be eligible for the honors program, it is sufficient to maintain a 3.4 GPA.
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