Answer the following: 1) What is the negation of this proposition? "Either a > 0 or a is a positiveinteger" a) a ≤0 or a is not a positiveinteger b) a <0 or a is a positiveinteger c) d) a <0 and a is not a positiveinteger a ≤0 and a is not a positiveinteger

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Answer the following:
1) What is the negation of this proposition?
"Either a > 0 or a is a positiveinteger"
a) a ≤0 or a is not a positiveinteger
b) a <0 or a is a positiveinteger
c)
a <0 and a is not a positiveinteger
d)
a ≤0 and a is not a positiveinteger
2) What is the negation of this proposition?
"It is raining and the wind is blowing".
a) It is not raining and the wind is notblowing
b) It is not raining or the wind isblowing
c) It is not raining or the wind is notblowing
d) It is raining and the wind isblowing
3) Let p and q be the propositions "You are a freshman", and "You are enrolled in three courses
for this semester, "respectively. Express the following compound proposition as an English
sentence:
-p V- q
a) "You are a freshman or you are enrolled in three courses for thissemester"
b) "You are not a freshman or you are not enrolled in three courses for thissemester"
c) "You are a freshman and you are not enrolled in three courses for thissemester"
d) "You are a freshman and you are enrolled in three courses for thissemester"
1
Transcribed Image Text:Answer the following: 1) What is the negation of this proposition? "Either a > 0 or a is a positiveinteger" a) a ≤0 or a is not a positiveinteger b) a <0 or a is a positiveinteger c) a <0 and a is not a positiveinteger d) a ≤0 and a is not a positiveinteger 2) What is the negation of this proposition? "It is raining and the wind is blowing". a) It is not raining and the wind is notblowing b) It is not raining or the wind isblowing c) It is not raining or the wind is notblowing d) It is raining and the wind isblowing 3) Let p and q be the propositions "You are a freshman", and "You are enrolled in three courses for this semester, "respectively. Express the following compound proposition as an English sentence: -p V- q a) "You are a freshman or you are enrolled in three courses for thissemester" b) "You are not a freshman or you are not enrolled in three courses for thissemester" c) "You are a freshman and you are not enrolled in three courses for thissemester" d) "You are a freshman and you are enrolled in three courses for thissemester" 1
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