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Define a Venn diagram and a predicate-logic expression for each of these claims: a. all students...

Define a Venn diagram and a predicate-logic expression for each of these claims: a. all students are persons b. some students are CS majors c. not all CS majors like video games

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Solution:-

a) Assuming P(x) denotes 'x is person' then the statement All students are persons can be represented as where domain constitutes All students.


b) Assuming S(x) denotes ' x is a student' , C(x) denotes ' x has taken CS major' then the statement Some students are CS majors can be represented as where domain constitutes students in the class.


c) Assuming C(x) denotes ' x has taken CS major ' , V(x) denotes ' x likes video games' then the statement Not all CS majors like video games can be represented as where domain constitutes students in the class.

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