2) What is the negation of this proposition? [0.5pt] If it is below freezing, it is...
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2) What is the negation of this proposition? [0.5pt] "If it is below freezing, it is snowing" a) It is not below freezing, and it is not snowing b) It is below freezing, and it is not snowing c) It is not below freezing, or it is not snowing d) It is not below freezing, or it is snowing 3) Let p and q be the propositions "You are a freshman", and "You are not enrolled in three courses for this semester," respectively. Express the following compound proposition as an English sentence [0.75pt]: qp a) "If you are a freshman, then you are enrolled in three courses for this semester" b) "If you are not a freshman, then you are not enrolled in three courses for this semester" c) "You are not a freshman is necessary and sufficient for you are enrolled in three courses for this semester" 1 2) What is the negation of this proposition? [0.5pt] "If it is below freezing, it is snowing" a) It is not below freezing, and it is not snowing b) It is below freezing, and it is not snowing c) It is not below freezing, or it is not snowing d) It is not below freezing, or it is snowing 3) Let p and q be the propositions "You are a freshman", and "You are not enrolled in three courses for this semester," respectively. Express the following compound proposition as an English sentence [0.75pt]: qp a) "If you are a freshman, then you are enrolled in three courses for this semester" b) "If you are not a freshman, then you are not enrolled in three courses for this semester" c) "You are not a freshman is necessary and sufficient for you are enrolled in three courses for this semester" 1
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Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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