1. Let B(r) denotes " plays this 2-person video game" and P(x, y) denotes "z has played this 2-person video game with y", where the domain for variables r and y consists of all students in your class. Questions: • Express each of the following sentences in logical notation. Define all set and predicate symbols that you use in the logical expressions. .Write the negation of each of the sentences in English and in logical form. Simplifying the logical sentences so that only predicates are negated. (a) If Aisha and Zulfiqar play this 2-person video game, then they have played it with each other. (Hint: note that P(x, y) only expresses that r has played with y; this does not necessarily mean that y has played with z). (b) No one in the class has played this 2-person video game with Jerry. (c) Someone in your class does not play this 2-person video game. (d) Everyone in your class who plays this 2-person video game has played the game with at least one

1. Let B(r) denotes " plays this 2-person video game" and P(x, y) denotes "z has played this 2-person video game with y", where the domain for variables r and y consists of all students in your class. Questions: • Express each of the following sentences in logical notation. Define all set and predicate symbols that you use in the logical expressions. .Write the negation of each of the sentences in English and in logical form. Simplifying the logical sentences so that only predicates are negated. (a) If Aisha and Zulfiqar play this 2-person video game, then they have played it with each other. (Hint: note that P(x, y) only expresses that r has played with y; this does not necessarily mean that y has played with z). (b) No one in the class has played this 2-person video game with Jerry. (c) Someone in your class does not play this 2-person video game. (d) Everyone in your class who plays this 2-person video game has played the game with at least one

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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