c) Let p: I obtain the certificate of achievement q: I study hard r: I pass the final examination (i) Write the following proposition in terms of p, q, r and logical connectives. 'I obtain the certificate of achievement if I study hard and I pass the final examination. (ii) State the contrapositive, inverse and converse of the proposition in Question 3 c) (i) in terms of p, q, r and logical connectives. Hence, simplify your answers to the form without logical connective →.
c) Let p: I obtain the certificate of achievement q: I study hard r: I pass the final examination (i) Write the following proposition in terms of p, q, r and logical connectives. 'I obtain the certificate of achievement if I study hard and I pass the final examination. (ii) State the contrapositive, inverse and converse of the proposition in Question 3 c) (i) in terms of p, q, r and logical connectives. Hence, simplify your answers to the form without logical connective →.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Topic Video
Question
![c)
Let p: I obtain the certificate of achievement
q: I study hard
r: I pass the final examination
(i)
Write the following proposition in terms of p, q, r and logical connectives.
'I obtain the certificate of achievement if I study hard and I pass the final examination.
(ii)
State the contrapositive, inverse and converse of the proposition in Question 3 c) (i) in
terms of p, q, r and logical connectives. Hence, simplify your answers to the form
without logical connective →.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22d78b22-f5cc-4326-a324-a646976ea720%2F5f452c9c-5bca-433c-bfb5-b4f92b3f6c97%2Fb5xq49_processed.png&w=3840&q=75)
Transcribed Image Text:c)
Let p: I obtain the certificate of achievement
q: I study hard
r: I pass the final examination
(i)
Write the following proposition in terms of p, q, r and logical connectives.
'I obtain the certificate of achievement if I study hard and I pass the final examination.
(ii)
State the contrapositive, inverse and converse of the proposition in Question 3 c) (i) in
terms of p, q, r and logical connectives. Hence, simplify your answers to the form
without logical connective →.
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