Question #309661

Let P (x) be the statement "x can speak Russian" and let


Q(x) be the statement "x knows the computer language


C++." 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
Expert's answer
2022-03-13T18:01:40-0400

Answer


Let P (x) be the statement "x can speak Russian" and let Q(x) be the statement "x knows the computer language C++." 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.


P(x)P(x) means "xx can speak Russian Language"


Q(x)Q(x) means "xx knows the computer language C++"


Now there can be a person who knows Russian Language and also knows the computer language C++.


So we can write this sentence in terms of P (x), Q (x), quantifiers, and logical connectives as


x(P(x)Q(x))\exist x(P(x)∧Q(x))


Here \exist is existential quantifier


And is logical connective.




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