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Which one of the following is the most appropriate logical formula to represent the statement? "Gold and silver ornaments are precious". The following notations are used: G(x): x is a gold ornament S(x): x is a silver ornament P(x): x is precious
  • a)
    ∀x(P(x)→(G(x)∧S(x)))
  • b)
    ∀x((G(x)∧S(x))→P(x))
  • c)
    ∃x((G(x)∧S(x))→P(x)
  • d)
    ∀x((G(x)∨S(x))→P(x))
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which one of the following is the most appropriate logical formula to ...
=> This statement can be expressed as
=> For all X, x can be either gold or silver then the ornament X is precious
=> For all X, (G(X) v S(x)) => P(X).
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Most Upvoted Answer
Which one of the following is the most appropriate logical formula to ...
Logical Formula Representation of Statement

The statement "Gold and silver ornaments are precious" can be logically represented as:

- Domain: Set of all ornaments
- G(x): x is a gold ornament
- S(x): x is a silver ornament
- P(x): x is precious

The logical formula representation of the statement is:

- ∀x ((G(x) ∨ S(x)) → P(x))

Explanation

- ∀x: For all x in the domain of ornaments.
- (G(x) ∨ S(x)): x is either a gold ornament or a silver ornament or both.
- →: Implication, if the left-hand side is true, then the right-hand side must also be true.
- P(x): x is precious.

Therefore, the logical formula representation of the statement is "For all x in the domain of ornaments, if x is a gold ornament or a silver ornament or both, then x is precious" or ∀x ((G(x) ∨ S(x)) → P(x)). Option D is the correct answer as it represents the statement using the given notations.
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Community Answer
Which one of the following is the most appropriate logical formula to ...
For all x, x can be either gold or silver ornament, therefore x is precious.
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Which one of the following is the most appropriate logical formula to represent the statement? "Gold and silver ornaments are precious". The following notations are used: G(x): x is a gold ornament S(x): x is a silver ornament P(x): x is preciousa)∀x(P(x)→(G(x)∧S(x)))b)∀x((G(x)∧S(x))→P(x))c)∃x((G(x)∧S(x))→P(x)d)∀x((G(x)∨S(x))→P(x))Correct answer is option 'D'. Can you explain this answer?
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Which one of the following is the most appropriate logical formula to represent the statement? "Gold and silver ornaments are precious". The following notations are used: G(x): x is a gold ornament S(x): x is a silver ornament P(x): x is preciousa)∀x(P(x)→(G(x)∧S(x)))b)∀x((G(x)∧S(x))→P(x))c)∃x((G(x)∧S(x))→P(x)d)∀x((G(x)∨S(x))→P(x))Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which one of the following is the most appropriate logical formula to represent the statement? "Gold and silver ornaments are precious". The following notations are used: G(x): x is a gold ornament S(x): x is a silver ornament P(x): x is preciousa)∀x(P(x)→(G(x)∧S(x)))b)∀x((G(x)∧S(x))→P(x))c)∃x((G(x)∧S(x))→P(x)d)∀x((G(x)∨S(x))→P(x))Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following is the most appropriate logical formula to represent the statement? "Gold and silver ornaments are precious". The following notations are used: G(x): x is a gold ornament S(x): x is a silver ornament P(x): x is preciousa)∀x(P(x)→(G(x)∧S(x)))b)∀x((G(x)∧S(x))→P(x))c)∃x((G(x)∧S(x))→P(x)d)∀x((G(x)∨S(x))→P(x))Correct answer is option 'D'. Can you explain this answer?.
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