Question

Given a predicate P and an element x of its domain, what does it mean if P(x) is True?

a) There is no value of x that satisfies P(x)
b) There is exactly one value of x that satisfies P(x)
c) There are multiple values of x that satisfy P(x)
d) There is exactly two values of x that satisfy P(x)

Answer 1

The correct answer is:

c) There are multiple values of x that satisfy P(x)

What is predicate

Predicates are often used to express relationships, properties, or characteristics about objects or elements in a set.

Here it is used for a relation.

If P(x) is true, it means that the predicate (P) is satisfied by at least one value of x.

This could be one or more values; hence, there are multiple values of x that satisfy P(x).