18. Suppose that the domain of the propositional function. P(x) consists of the integers -2, -1, 0, 1, and 2. Write out each of these propositions using disjunctions, con- junctions, and negations. a) 3x P(x) b) VxP(x) d) Vx-P(x) e) -3x P(x) c) 3x-P(x) f) -VxP(x)
18. Suppose that the domain of the propositional function. P(x) consists of the integers -2, -1, 0, 1, and 2. Write out each of these propositions using disjunctions, con- junctions, and negations. a) 3x P(x) b) VxP(x) d) Vx-P(x) e) -3x P(x) c) 3x-P(x) f) -VxP(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:18. Suppose that the domain of the propositional function
P(x) consists of the integers -2,-1, 0, 1, and 2. Write
out each of these propositions using disjunctions, con-
junctions, and negations.
a) 3x P(x)
b) VxP(x)
d) Vx-P(x)
e) -3x P(x)
c) 3x-P(x)
f) -VxP(x)
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