Let the following simple sentences be represented as follows. A: Today is Friday. B:l am going to watch a movie. C:l am not going to the basketball game. D: It is raining. Write the following compound sentences in propositional form. 1. Either I am going to watch a movie or l am going to the basketball game, however, it is raining. 2. I am going to watch a movie, if and only if , it is not raining and today is Sunday. 3. It is not true that if it is raining and today is Friday, then I am going to the basketball game. 4. Today is Friday and I am going to either watch a movie or to the basketball game. 5. If it is not raining, then it is not true that I am not going to the basketball game.
Let the following simple sentences be represented as follows. A: Today is Friday. B:l am going to watch a movie. C:l am not going to the basketball game. D: It is raining. Write the following compound sentences in propositional form. 1. Either I am going to watch a movie or l am going to the basketball game, however, it is raining. 2. I am going to watch a movie, if and only if , it is not raining and today is Sunday. 3. It is not true that if it is raining and today is Friday, then I am going to the basketball game. 4. Today is Friday and I am going to either watch a movie or to the basketball game. 5. If it is not raining, then it is not true that I am not going to the basketball game.
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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Write the following compound sentences in propositional form.
1. Either I am going to watch a movie or I am going to the basketball game, however, it is raining.
2. I am going to watch a movie, if and only if , it is not raining and today is Sunday.
3. It is not true that if it is raining and today is Friday, then I am going to the basketball game.
4. Today is Friday and I am going to either watch a movie or to the basketball game.
5. If it is not raining, then it is not true that I am not going to the basketball game.
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