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1. Let p. q and r be true statements. Find the truth value of: (~p Aq) v~(r~q). Show your explanation (or computation).

1. Let p. q and r be true statements. Find the truth value of: (~p Aq) v~(r~q). Show your explanation (or computation).

Advanced Engineering Mathematics
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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Submit the answers to the following items. You may write (or type) your answer on a sheet/s of paper. You can scan (or take a photo) your answers, then send me the photos. Or if typed on a computer, you can upload the word or pdf file. 1. Let p, q and r be true statements. Find the truth value of: (~p Aq) V~(rq). Show your explanation (or computation). 2. Let p, q be true statements. What should the truth value of statement s be so that the statement (p Vq) A-s has truth value TRUE. Justify. 3. Write the truth table for the statement: (~p Aq) v~(r~q) 4. Negate the following statements: (a) 1+1=3 and 5 > 1. (b) I like watching movies and reading books. (c) Some islands are not inhabited. (d) All UP students are honest or no politician is corrupt. (e) Some violets are blue and no roses are violet. 5. Which of the following statements is/are equivalent to "No gorilla is playful." (a) If you are playful, then you are a gorilla. (b) If you are a gorilla, then you are not playful. (c) Either you are playful or you are a gorilla. (d) If you are not a gorilla, then you are playful. (e) If you are playful, then you are not a gorilla. (f) You are not playful only if you are a gorilla. 6. Determine if the given argument is valid or invalid. Use an Euler diagram to support your answer. (a) All parrots are birds. Some birds are colorful. Therefore, some parrots are colorful. (b) All parrots are birds. All cats are mammals. No bird is a mammal. Therefore, no parrot is a cat.
Transcribed Image Text:Submit the answers to the following items. You may write (or type) your answer on a sheet/s of paper. You can scan (or take a photo) your answers, then send me the photos. Or if typed on a computer, you can upload the word or pdf file. 1. Let p, q and r be true statements. Find the truth value of: (~p Aq) V~(rq). Show your explanation (or computation). 2. Let p, q be true statements. What should the truth value of statement s be so that the statement (p Vq) A-s has truth value TRUE. Justify. 3. Write the truth table for the statement: (~p Aq) v~(r~q) 4. Negate the following statements: (a) 1+1=3 and 5 > 1. (b) I like watching movies and reading books. (c) Some islands are not inhabited. (d) All UP students are honest or no politician is corrupt. (e) Some violets are blue and no roses are violet. 5. Which of the following statements is/are equivalent to "No gorilla is playful." (a) If you are playful, then you are a gorilla. (b) If you are a gorilla, then you are not playful. (c) Either you are playful or you are a gorilla. (d) If you are not a gorilla, then you are playful. (e) If you are playful, then you are not a gorilla. (f) You are not playful only if you are a gorilla. 6. Determine if the given argument is valid or invalid. Use an Euler diagram to support your answer. (a) All parrots are birds. Some birds are colorful. Therefore, some parrots are colorful. (b) All parrots are birds. All cats are mammals. No bird is a mammal. Therefore, no parrot is a cat.
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