I. Let the following statements be propositions: p: Lily is an algebraist. q : Lily loves cartoon shows. r : Lily plays chess in the afternoon such that p is TRUE, q is TRUE and r is FALSE. Write the following into symbolic notations and determine their truth values. 1. Lily does not love cartoon shows. 2. It is not the case that Lily is an algebraist. 3. Lily is an algebraist iff he loves cartoon shows. 4. Neither Lily is an algebraist nor he loves cartoon shows. 5. Either Lily plays chess in the afternoon or he is an algebraist.

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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I. Let the following statements be propositions:
p: Lily is an algebraist. q : Lily loves cartoon shows. r : Lily plays chess in the afternoon
such that p is TRUE, q is TRUE and r is FALSE. Write the following into symbolic notations and determine
their truth values.
1. Lily does not love cartoon shows.
2. It is not the case that Lily is an algebraist.
3. Lily is an algebraist iff he loves cartoon shows.
4. Neither Lily is an algebraist nor he loves cartoon shows.
5. Either Lily plays chess in the afternoon or he is an algebraist.
6. He loves cartoon shows if Lily does not play in the afternoon.
7. If Lily plays chess in the afternoon, then he is not an algebraist.
8. Lily loves cartoon shows yet he does not play chess in the afternoon.
9. Lily plays chess in the afternoon implies he is an algebraist or he loves cartoons.
10. Lily loves cartoon shows and plays chess in the afternoon, can make him an algebraist.
Transcribed Image Text:I. Let the following statements be propositions: p: Lily is an algebraist. q : Lily loves cartoon shows. r : Lily plays chess in the afternoon such that p is TRUE, q is TRUE and r is FALSE. Write the following into symbolic notations and determine their truth values. 1. Lily does not love cartoon shows. 2. It is not the case that Lily is an algebraist. 3. Lily is an algebraist iff he loves cartoon shows. 4. Neither Lily is an algebraist nor he loves cartoon shows. 5. Either Lily plays chess in the afternoon or he is an algebraist. 6. He loves cartoon shows if Lily does not play in the afternoon. 7. If Lily plays chess in the afternoon, then he is not an algebraist. 8. Lily loves cartoon shows yet he does not play chess in the afternoon. 9. Lily plays chess in the afternoon implies he is an algebraist or he loves cartoons. 10. Lily loves cartoon shows and plays chess in the afternoon, can make him an algebraist.
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