Arjun Suresh (talk | contribs) (Created page with "Which one of the following is the most appropriate logical formula to represent the statement? $``$Gold and silver ornaments are precious$''$. <br> The following notatio...") |
(No difference)
|
Which one of the following is the most appropriate logical formula to represent
the statement? $``$Gold and silver ornaments are precious$$.
The following notations are used:
G(x): x is a gold ornament
S(x): x is a silver ornament
P(x): x is precious
(A) ∀x(P(x) → (G(x) ∧ S(x)))
(B) ∀x((G(x) ∧ S(x)) → P(x))
(C) ∃;x((G(x) ∧ S(x)) → P(x))
(D) ∀x((G(x) ∨ S(x)) → P(x))
Sol : Basically statement is saying that for every thing, if it is a Gold ornament or a silver ornament, then it is precious.
So ∀x((G(x) ∨ S(x)) → P(x)) is correct logical formula, and therefore option (D) is correct.
Which one of the following is the most appropriate logical formula to represent
the statement? $``$Gold and silver ornaments are precious$$.
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))
Sol : Basically statement is saying that for every thing, if it is a Gold ornament or a silver ornament, then it is precious.
So ∀x((G(x) ∨ S(x)) → P(x)) is correct logical formula, and therefore option (D) is correct.
GATECSE