p(x): x is a student in your class. q(x): x owns a bicycle. r(x): x owns a motorcycle. Here, the domain for quantifiers consists of all people. Choose the correct proposition for the sentence: "No one in your school owns both a bicycle and a motorcycle." a. ∃x¬(p(x) ∨ q(x) ∨ r(x)) b. ¬∀x(p(x) → (q(x)∧r(x)) c. ¬∀x(p(x) → (q(x)→r(x)) d. ¬∃x(p(x) ∧ q(x) ∧ r(x))
p(x): x is a student in your class. q(x): x owns a bicycle. r(x): x owns a motorcycle. Here, the domain for quantifiers consists of all people. Choose the correct proposition for the sentence: "No one in your school owns both a bicycle and a motorcycle." a. ∃x¬(p(x) ∨ q(x) ∨ r(x)) b. ¬∀x(p(x) → (q(x)∧r(x)) c. ¬∀x(p(x) → (q(x)→r(x)) d. ¬∃x(p(x) ∧ q(x) ∧ r(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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Below are some predicates and their corresponding statements:
p(x): x is a student in your class.
q(x): x owns a bicycle.
r(x): x owns a motorcycle.
Here, the domain for quantifiers consists of all people.
Choose the correct proposition for the sentence:
"No one in your school owns both a bicycle and a motorcycle."
a.
∃x¬(p(x) ∨ q(x) ∨ r(x))
b.
¬∀x(p(x) → (q(x)∧r(x))
c.
¬∀x(p(x) → (q(x)→r(x))
d.
¬∃x(p(x) ∧ q(x) ∧ r(x))
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