ranslate the given English sentence into proposition. 1. You will pass the subject if and only if you study hard. 2. I will go with you unless you have a car. 3. Both smoking and drinking is dangerous to your health. 4. The program will run if and only if it is error-free. 5. Either mango or chocolate is my favorite flavor in ice cream

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section: Chapter Questions
Problem 1RP: Although Pythagoras preceded William Shakespeare by 2,000 years, the philosophy of the Pythagoreans...
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Translate the given English sentence into proposition. 1. You will pass the subject if and only if you study hard. 2. I will go with you unless you have a car. 3. Both smoking and drinking is dangerous to your health. 4. The program will run if and only if it is error-free. 5. Either mango or chocolate is my favorite flavor in ice cream. 6. If we win then we neither lose nor draw. 7. Archie will jump even Jughead will run 8. In case San Miguel beats Purefoods, where Purefoods beats Alaska, then Alaska will not play in the finals. 9. I can finish my work provided that I have materials and financial support from you. 10. Willie will travel the world if and only if he is a millionaire but he is only a debonair.
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