Let X be the set of all boys in the class and Y be the set of all girl in teh class P(a, b) be a predicate that is true only if a secretly likes b. Translate these confusing symbols in to plain english and determine whether follwing propositions true. Explain/Prove/Disprove it. A) ∀x ∈ X, ∃y ∈ Y such that P(x, y) =⇒ ∃y ∈ Y such that P(x, y) ∀x ∈ X B) ∃y ∈ Y such that P(x, y)∀x ∈ X =⇒ ∀x ∈ X, ∃y ∈ Y such that P(x, y)
Let X be the set of all boys in the class and Y be the set of all girl in teh class P(a, b) be a predicate that is true only if a secretly likes b. Translate these confusing symbols in to plain english and determine whether follwing propositions true. Explain/Prove/Disprove it. A) ∀x ∈ X, ∃y ∈ Y such that P(x, y) =⇒ ∃y ∈ Y such that P(x, y) ∀x ∈ X B) ∃y ∈ Y such that P(x, y)∀x ∈ X =⇒ ∀x ∈ X, ∃y ∈ Y such that P(x, y)
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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Let X be the set of all boys in the class and Y be the set of all girl in teh class
P(a, b) be a predicate that is true only if a secretly likes b.
Translate these confusing symbols in to plain english and determine whether follwing propositions true. Explain/Prove/Disprove it.
A) ∀x ∈ X, ∃y ∈ Y such that P(x, y) =⇒ ∃y ∈ Y such that P(x, y) ∀x ∈ X
B) ∃y ∈ Y such that P(x, y)∀x ∈ X =⇒ ∀x ∈ X, ∃y ∈ Y such that P(x, y)
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