Let P(x) be the statement \"x can speak Spanish\" and let Q(x) be the statement

Question

Let P(x) be the statement "x can speak Spanish" and let Q(x) be the statement "x knows computer programming" Express each of these sentences in terms of P(x), Q(x), quantifiers, and logical connectives. The domain for quantifiers consists of all students at your school. There is a student at your school who can speak Spanish and who knows computer programming. There is a student at your school who can speak Spanish but who doesn't know computer programming. Every student at your school either can speak Spanish or knows computer programming. No student at your school can speak Spanish or knows computer programming.

Explanation / Answer

Here x refers to the student

P(x) refers to the the student who speak Spanish

Q(x) refers to the student who know computer programming

a)P(x) ^ Q(x)

b)P(x) ^ (~Q(x))

c) P(x) v Q(x)

d) ~(p(x)^Q(x))

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