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.
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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