Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people.
a) Someone in your class can speak Hindi.
b) Everyone in your class is friendly.
c) There is a person in your class who was not born in California.
d) A student in your class has been in a movie.
e) No student in your class has taken a course in logic programming.

Answer:

a) Someone in your class can speak Hindi.

Step-by-step explanation:

The statements into logical expressions using predicates, quantifiers, and logical connective is shown below.

The property (or properties) that a variable or subject might have are described by a predicate or propositional function. By giving the variable a value or by quantification, a proposition can be made from a propositional function.

a) Someone in your class can speak Hindi.

∃x (H(x))

and, ∃x (S(x) ^ H(x))

b) Everyone in your class is friendly.

∀ x (F(x))

and, ∀ x (S(x) --> F(x))

c) There is a person in your class who was not born in California.

∃x (~C(x))

and, ∃x (S(x) ^(~C(x))

d) A student in your class has been in a movie.

∃x (M(x))

and, ∃x (S(x) ^ M(x))

e) No student in your class has taken a course in logic programming.

∀ x (~L(x))

and, ∀ x (S(x) --> ~L(x))

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