d) If it snows today, the university will close. The uni- versity is not closed today. Therefore, it did not snow today. e) If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. There- fore, if I go swimming, then I will sunburn.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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part D E 

3. What rule of inference is used in each of these argu-
ments?
a) Alice is a mathematics major. Therefore, Alice is ei-
ther a mathematics major or a computer science ma-
jor.
b) Jerry is a mathematics major and a computer science
major. Therefore, Jerry is a mathematics major.
c) If it is rainy, then the pool will be closed. It is rainy.
Therefore, the pool is closed.
d) If it snows today, the university will close. The uni-
versity is not closed today. Therefore, it did not snow
today.
e) If I go swimming, then I will stay in the sun too long.
If I stay in the sun too long, then I will sunburn. There-
fore, if I go swimming, then I will sunburn.
Transcribed Image Text:3. What rule of inference is used in each of these argu- ments? a) Alice is a mathematics major. Therefore, Alice is ei- ther a mathematics major or a computer science ma- jor. b) Jerry is a mathematics major and a computer science major. Therefore, Jerry is a mathematics major. c) If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed. d) If it snows today, the university will close. The uni- versity is not closed today. Therefore, it did not snow today. e) If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. There- fore, if I go swimming, then I will sunburn.
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