Let p(x) be the statement “x can speak Arabic” and let Q(x) be the statement “x knows the computer science language Java.” Express each of these sentences in terms of p(x), q(x), quantifiers and...

Let p(x) be the statement “x can speak Arabic” and let Q(x) be the statement “x knows the computer science language Java.” 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.

1. There is a student at your school who can speak Arabic and who known Java.


2. There is a student at your school who can speak Arabic but who doesn’t know Java.


3. Every student at your school either can speak Arabic or knows Java.


4. No student at your school can speak Arabic or knows Java.