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Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form "if p, then q."

Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form "if p, then q."

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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.
Transcribed Image Text: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.
Expert Solution
Step 1

if the conditional statement is p-q, then

Converse would be q-p

Inverse would be ^p-^q

Contrapositive would be ^q-^p

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