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8. If we close the window, then there is less light. (W, L) There is less light. (L, I) Therefore, we closed the window.

8. If we close the window, then there is less light. (W, L) There is less light. (L, I) Therefore, we closed the window.

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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Number 8
Directions: Translate each argument into symbolic form (using the suggested letters) and determine whether the argument is valid or invalid by using truth table (Method 1) or standard form of arguments (Method 2). State your answer in sentence form. 1. If Tomas was absent, then he missed the review. (A, M) Tomas was absent. Therefore, Tomas missed the review. 2. If I pass the final exam, I will graduate. (P, G) I graduated. Therefore, I passed the final exam. 3. If two divides ten, then four divides nine. (E, S) Four does not divide nine. Therefore, two does not divide ten. 4. If it is sunny, Ben will go biking. (S, B) It is not sunny. Therefore, Ben did not go biking. 5. Agnes and Bernard will bring the pizza. (A, B) Agnes did not bring the pizza. Therefore, Bernard did not bring the pizza. 6. You can work out here if you are a member. (W, M) You work out here. Therefore, you are a member. 7. If I pass the interview, then I will not be able to go on vacation. (I, V) It is false thatI will take a leave and will not pass the interview. (L, I) Therefore, if I go on vacation, then I will not pass the interview. 8. If we close the window, then there is less light. (W, L) There is less light. (L, I) Therefore, we closed the window. 9. He is dumb or lazy. (D, L) He is dumb, Therefore, he is not lazy. 10. Carmen and Yolly will be at the concert. (C, Y) Carmen was at the concert. Therefore, Yolly was at the concert.
Transcribed Image Text:Directions: Translate each argument into symbolic form (using the suggested letters) and determine whether the argument is valid or invalid by using truth table (Method 1) or standard form of arguments (Method 2). State your answer in sentence form. 1. If Tomas was absent, then he missed the review. (A, M) Tomas was absent. Therefore, Tomas missed the review. 2. If I pass the final exam, I will graduate. (P, G) I graduated. Therefore, I passed the final exam. 3. If two divides ten, then four divides nine. (E, S) Four does not divide nine. Therefore, two does not divide ten. 4. If it is sunny, Ben will go biking. (S, B) It is not sunny. Therefore, Ben did not go biking. 5. Agnes and Bernard will bring the pizza. (A, B) Agnes did not bring the pizza. Therefore, Bernard did not bring the pizza. 6. You can work out here if you are a member. (W, M) You work out here. Therefore, you are a member. 7. If I pass the interview, then I will not be able to go on vacation. (I, V) It is false thatI will take a leave and will not pass the interview. (L, I) Therefore, if I go on vacation, then I will not pass the interview. 8. If we close the window, then there is less light. (W, L) There is less light. (L, I) Therefore, we closed the window. 9. He is dumb or lazy. (D, L) He is dumb, Therefore, he is not lazy. 10. Carmen and Yolly will be at the concert. (C, Y) Carmen was at the concert. Therefore, Yolly was at the concert.
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