Q.No.5. Let P(x) be the statement "x can speak English", Q(x) be the statement "x knows the computer language C++" and R(x) be the statement "x is a good programmer". Express following clause in terms of P(x), Q(x) R(x), quantifiers, and logical connectives. The domain for quantifiers consists of all students at your school. the "There is a student at your school if he knows C++ and he cannot speak English then he knows C++ or he cannot speak English if and only if he is a good ." programmer.

Advanced Engineering Mathematics
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Q.No.5.
Let P(x) be the statement "x can speak English", Q(x) be the
statement "x knows the computer language C++" and R(x) be
the statement "x is a good programmer". Express the
following clause in terms of P(x), Q(x) R(x), quantifiers, and
logical connectives. The domain for quantifiers consists of all
students at your school.
"There is a student at your school if he knows C++
and he cannot speak English then he knows C++ or he
cannot speak English if and only if he is a good
programmer.
Transcribed Image Text:Q.No.5. Let P(x) be the statement "x can speak English", Q(x) be the statement "x knows the computer language C++" and R(x) be the statement "x is a good programmer". Express the following clause in terms of P(x), Q(x) R(x), quantifiers, and logical connectives. The domain for quantifiers consists of all students at your school. "There is a student at your school if he knows C++ and he cannot speak English then he knows C++ or he cannot speak English if and only if he is a good programmer.
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