28) Determinethetruthvalue ofthefollowingstatement ifthedomainofeachvariableconsistsof allintegers? VXX²X [T/F] 29)P (x) is the statement "x²<8" and the domain consists of the positive integers less than 6. Write out theproposition XP(x)using disjunctions, conjunctions, and negations (i.e. rewrite the propositionswithoutusing quantifiers). a)-(P(1) P(2) P(3) P(4)*P(5)) b)-(P(1) P(2) VP (3) P(4) P(5) P(6)) c)-(P(1)^P(2) ^P(3) ^P(4) ^P(5)^P(6)) d)-(P(1) P(2) P(3) P(4) P(5)*P(6) *P(7))

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
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28) Determinethetruthvalue ofthe following statement ifthedomainofeachvariableconsistsof
allintegers?
Vx:x²7x
[T/F]
29)P (x) is the statement "x²< 8" and the domain consists of the positive integers less than 6.
Write out theproposition XP(x)using disjunctions, conjunctions, and negations (i.e. rewrite
the propositionswithoutusing quantifiers).
a)-(P(1) P(2) VP(3) P(4)*P(5))
b)-(P(1) P(2) VP (3) P(4) *P(5)*P(6))
c)-(P(1)^P(2) ^P(3) ^P(4) ^P(5)^P(6))
d)-(P(1) P(2) VP(3) P(4) P(5)*P(6) VP(7))
Transcribed Image Text:28) Determinethetruthvalue ofthe following statement ifthedomainofeachvariableconsistsof allintegers? Vx:x²7x [T/F] 29)P (x) is the statement "x²< 8" and the domain consists of the positive integers less than 6. Write out theproposition XP(x)using disjunctions, conjunctions, and negations (i.e. rewrite the propositionswithoutusing quantifiers). a)-(P(1) P(2) VP(3) P(4)*P(5)) b)-(P(1) P(2) VP (3) P(4) *P(5)*P(6)) c)-(P(1)^P(2) ^P(3) ^P(4) ^P(5)^P(6)) d)-(P(1) P(2) VP(3) P(4) P(5)*P(6) VP(7))
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