Question 1) B(x) means that " x has a car", T(x,y) means that "x and y talked on the phone", where the universe of discourse for x and y consists of all the workers in a company. Translate the following sentences into logical expressions using quantifiers? a) Everyone in the company with a car has talked on the phone with at least one other worker in the company. b) There are two workers in the company who have not talked with each other on the phone. Translate the following logical expressions into a meaningful English sentence? c) 3x Vy (x-y) v (B(x) ^ -T(x, y))) d) 3x3y Vz ( T(x, z) → -T(y, z))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 1)
B(x) means that " x has a car",
T(x,y) means that "x and y talked on the phone",
where the universe of discourse for x and y consists of all the workers in a company.
Translate the following sentences into logical expressions using quantifiers?
a) Everyone in the company with a car has talked on the phone with at least one
other worker in the company.
b) There are two workers in the company who have not talked with each other on the
phone.
Translate the following logical expressions into a meaningful English sentence?
c) 3x Vy (x=y) v (B(x) ^ -T(x, y)))
d) 3x 3y Vz ( T(x, z) →-T(y, z))
Transcribed Image Text:Question 1) B(x) means that " x has a car", T(x,y) means that "x and y talked on the phone", where the universe of discourse for x and y consists of all the workers in a company. Translate the following sentences into logical expressions using quantifiers? a) Everyone in the company with a car has talked on the phone with at least one other worker in the company. b) There are two workers in the company who have not talked with each other on the phone. Translate the following logical expressions into a meaningful English sentence? c) 3x Vy (x=y) v (B(x) ^ -T(x, y))) d) 3x 3y Vz ( T(x, z) →-T(y, z))
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