Part (c) [30 points]. Evaluate each of the following formulas to TRUE or FALSE, and explain your reasoning for arriving at your result. N is the set of non-negative integers: {0, 1,2,3,...}. It is the set of positive integers: {1,2,3, ...}. I is the set of all integers, including the negatives. (a) Vi €N :Vj€I:P+ƒ>0 (b) 3jEI:VIEI+ : ij=-i (c) ¬(3i € I* : ¬(i² > i))

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Part (c) [30 points]. Evaluate each of the following formulas to TRUE or FALSE, and explain
your reasoning for arriving at your result. N is the set of non-negative integers: {0,1,2,3,...}.
It is the set of positive integers: {1,2,3,...}. I is the set of all integers, including the negatives.
(a) Vi EN:VjeI:P+ƒ>0
(b) 3jEI:Vie I+ : ij=-i
(c) ¬(3i e It :¬(² > i))
(d) ¬(Vi eI:P< 0)
(e) Vi EN:(i< 5) V (2' > ?)
(f) Vi EI:VJEI:3k €I:i=j+k
Transcribed Image Text:Part (c) [30 points]. Evaluate each of the following formulas to TRUE or FALSE, and explain your reasoning for arriving at your result. N is the set of non-negative integers: {0,1,2,3,...}. It is the set of positive integers: {1,2,3,...}. I is the set of all integers, including the negatives. (a) Vi EN:VjeI:P+ƒ>0 (b) 3jEI:Vie I+ : ij=-i (c) ¬(3i e It :¬(² > i)) (d) ¬(Vi eI:P< 0) (e) Vi EN:(i< 5) V (2' > ?) (f) Vi EI:VJEI:3k €I:i=j+k
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