Question

8. Translate each of the following statements into logical expressions/symbols using predicates, quantifiers, and logical connectives (wff) . a) There is a person in your class who was not born in California. b) A student in your class has been in a movie.

Answer 1

Answer:

a)

$\exists x (P(x) \wedge \neg Q(x))$

b)

$\exists x (P(x) \wedge R(x))$

Step-by-step explanation:

a) We have the following sentence:

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

Let ,,x'' is person.

Let P(x) be ,,x is in your class''.

Let Q(x) be ,,x is born in California''.

we get:

$\exists x (P(x) \wedge \neg Q(x))$

b) We have the following sentence:

A student in your class has been in a movie.

Let ,,x'' is student.

Let P(x) be ,,x is in your class''.

Let R(x) be ,,x has been in a movie''.

we get:

$\exists x (P(x) \wedge R(x))$