Suppose that the domain of the propositional function P(x) consists of the integers 1, 2, 3, 4, and 5. Express these statements without using quantifiers, instead using only negations, disjunctions, and conjunctions. a) ∃xP(x) b) ∀xP(x) c) ￢∃xP(x) d) ￢∀xP(x) e) ∀x((x ≠3) → P(x)) ∨ ∃x￢P(x)

Suppose that the domain of the propositional function P(x) consists of the integers 1, 2, 3, 4, and 5. Express these statements without using quantifiers, instead using only negations, disjunctions, and conjunctions. a) ∃xP(x) b) ∀xP(x) c) ￢∃xP(x) d) ￢∀xP(x) e) ∀x((x ≠3) → P(x)) ∨ ∃x￢P(x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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