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1. Let B(z) denotes "z 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 2 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 other student in your class. fel & student in your class has played this 2-person video game with everyone in your class

1. Let B(z) denotes "z 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 2 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 other student in your class. fel & student in your class has played this 2-person video game with everyone in your class

Advanced Engineering Mathematics
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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1. Let B(2) denotes "z 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 2 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 other student in your class. (e) A student in your class has played this 2-person video game with everyone in your class.
Transcribed Image Text:1. Let B(2) denotes "z 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 2 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 other student in your class. (e) A student in your class has played this 2-person video game with everyone in your class.
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