DISCRETE MATHEMATICS – Answer Key 1. Which of the following sentences are propositions? What are the truth values of those that are propositions? a. The moon is a satellite of the earth. b. x + 5 = 7. c. x + 5 > 9 for every real number x. Answer: a. Yes, True b. No c. Yes, False 2. Let p and q be the propositions p: Your car is out of gas. q: You cant drive your car. Write the following propositions using p and q and logical connectives. a) Your car is not out of gas. b) You cant drive your car if it is out of gas. c) Your car is not out of gas if you can drive it. d) If you cant drive your car then it is out of gas. Answer: • p • p q • q p • q p 3. Determine whether each of the following implications is true or false. a) If 0.5 is an integer, then 1 + 0.5 = 3. b) If cars can fly, then 1 + 1 = 3. c) If 5 > 2 then pigs can fly. d) If 3*5 = 15 then 1 + 2 = 3. Answer: a) True (because the condition is false) b) True (because the condition is false) c) False d) True
Posted on: Thu, 16 Oct 2014 08:45:30 +0000
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