7. Express each of these statements using predicates and quantifiers. a) A passenger on an airline qualifies as an elite flyer if the passenger flies more than 25,000 miles in a year or takes more than 25 flights during that year. b) A man qualifies for the marathon if his best previous time is less than 3 hours and a woman qualifies for the marathon if her best previous time is less than 3.5 hours.

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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8. Determine whether these pairs of statements are logically equivalent.
Justify your answer.
a) Vx(P(x) - Q(X)) and VxP(x) - VxQ(X)
b) 3x(P(x) V Q(x) and 3xP(x) V 3xQ(X).
You may copy the sign -, A, V, -
=, 31, 3, V.
Transcribed Image Text:8. Determine whether these pairs of statements are logically equivalent. Justify your answer. a) Vx(P(x) - Q(X)) and VxP(x) - VxQ(X) b) 3x(P(x) V Q(x) and 3xP(x) V 3xQ(X). You may copy the sign -, A, V, - =, 31, 3, V.
7. Express each of these statements using predicates and
quantifiers.
a) A passenger on an airline qualifies as an elite flyer if the
passenger flies more than 25,000 miles in a year or takes
more than 25 flights during that year.
b) A man qualifies for the marathon if his best previous time
is less than 3 hours and a woman qualifies for the marathon if
her best previous time is less than 3.5 hours.
Transcribed Image Text:7. Express each of these statements using predicates and quantifiers. a) A passenger on an airline qualifies as an elite flyer if the passenger flies more than 25,000 miles in a year or takes more than 25 flights during that year. b) A man qualifies for the marathon if his best previous time is less than 3 hours and a woman qualifies for the marathon if her best previous time is less than 3.5 hours.
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