2. Given premises: (1) All students in class either speak English or French. (2) Peter does not speak English. Prove the conclusion: There is some student in class who speaks French. You should first express the premises and the conclusion using logical expressions, using the following formulation: Let F(x) be “x speaks French." and E(x) be “z speaks English.", where the domain of x is students in class. Use rules of inference and follow the format for formal proofs discussed in class.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2. Given premises: (1) All students in class either speak English or French. (2) Peter does
not speak English. Prove the conclusion: There is some student in class who speaks French.
You should first express the premises and the conclusion using logical expressions, using the
following formulation: Let F(x) be “x speaks French." and E(z) be “z speaks English.", where
the domain of a is students in class. Use rules of inference and follow the format for formal
proofs discussed in class.
Transcribed Image Text:2. Given premises: (1) All students in class either speak English or French. (2) Peter does not speak English. Prove the conclusion: There is some student in class who speaks French. You should first express the premises and the conclusion using logical expressions, using the following formulation: Let F(x) be “x speaks French." and E(z) be “z speaks English.", where the domain of a is students in class. Use rules of inference and follow the format for formal proofs discussed in class.
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