1. Let P (x)be the statement z is a student of BracU", Q (x)be the statement "x can speak Japanese", and R (x)be the statement "a knows the computer language Python". Express the following sentence in terms of P (a)Q (x) R (x) quantifiers and logical connectives: "Every student in BracU knows python or can speak Japanese" OVz(Q (x) → (P (z) V R (z)) OVz(P(z) → (Q(z) v R (x)) O Vz(P(z) v Q (z) v R (z) O Vz(P(z) AQ (z) v R(z) 2. Let P (a, y)be the statement "a and y work at the same company" and Q (a, y)be the statement" a and y uses the same programming language". Which of the following sentences expressses Væ3y ((x # y) ^ P (x, y) A Q (x, 9) For all companies, there exist two employees who uses the same language. O For all employees using the same languages, there exist another employee who work at his company. O For all employees of all companies, there exist another employee who uses the same language. O For all employees, there exist another employee in the same company who uses the same language.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Let P (x)be the statement a is a student of BracU", Q (x)be the statement "a can speak
Japanese", and R (x)be the statement "x knows the computer language Python". Express the
following sentence in terms of P (x) Q (x) R (x) quantifiers and logical connectives: "Every student
in BracU knows python or can speak Japanese"
OVz(Q (x) (P (z) V R(z))
OVz(P(z)(Q (z) v R(z))
OVz(P(z) V Q (z) v R(z)
O Vz(P(z) AQ (z) V R(z)
2. Let P (x, y)be the statement "x and y work at the same company" and Q (x, y)be the statement
a and y uses the same programming language". Which of the following sentences expressses
Væ3y ((x + y) ^ P (x, y) A Q (x, 9))
O For all companies, there exist two employees who uses the same language.
O For all employees using the same languages, there exist another employee who work at his company.
O For all employees of all companies, there exist another employee who uses the same language.
O For all employees, there exist another employee in the same company who uses the same language.
Transcribed Image Text:Answer all ie youwoing questions in order to be able to click the submit button down below. 1. Let P (x)be the statement a is a student of BracU", Q (x)be the statement "a can speak Japanese", and R (x)be the statement "x knows the computer language Python". Express the following sentence in terms of P (x) Q (x) R (x) quantifiers and logical connectives: "Every student in BracU knows python or can speak Japanese" OVz(Q (x) (P (z) V R(z)) OVz(P(z)(Q (z) v R(z)) OVz(P(z) V Q (z) v R(z) O Vz(P(z) AQ (z) V R(z) 2. Let P (x, y)be the statement "x and y work at the same company" and Q (x, y)be the statement a and y uses the same programming language". Which of the following sentences expressses Væ3y ((x + y) ^ P (x, y) A Q (x, 9)) O For all companies, there exist two employees who uses the same language. O For all employees using the same languages, there exist another employee who work at his company. O For all employees of all companies, there exist another employee who uses the same language. O For all employees, there exist another employee in the same company who uses the same language.
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