Question

What is the predicate and domain of the given statement?

1) Predicate: 8d is an integer, Domain: Z
2) Predicate: 8d is an integer, Domain: R
3) Predicate: 8d is an integer, Domain: N
4) Predicate: 8d is an integer, Domain: Q

Answer 1

The predicate is '8d is an integer' and the domain specifies where the variable 'd' belongs to. The correct option is 4) Predicate: 8d is an integer, Domain: Q.

Step-by-step explanation:

In the given statement, the predicate is '8d is an integer' and the domain specifies where the variable 'd' belongs to. Let's analyze each option:

1. Predicate: 8d is an integer, Domain: Z - This option states that 'd' is an integer and the domain is the set of all integers.
2. Predicate: 8d is an integer, Domain: R - This option states that 'd' is an integer and the domain is the set of all real numbers. However, not all real numbers are integers, so this is incorrect.
3. Predicate: 8d is an integer, Domain: N - This option states that 'd' is an integer and the domain is the set of all natural numbers. Natural numbers include positive integers, but not negative integers, so this is incorrect.
4. Predicate: 8d is an integer, Domain: Q - This option states that 'd' is an integer and the domain is the set of all rational numbers. Rational numbers include integers, so this is correct.

Therefore, option 4) Predicate: 8d is an integer, Domain: Q is the correct answer.