Define appropriate predicates and rewrite them using the defined predicates

Berikut ini adalah pertanyaan dari aresjakarta pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Define appropriate predicates and rewrite them using the defined predicates and quantifiers.-Every human must die.
-Some animal eats other animals.
-If a student works hard, that student will be successful.
-Everyone has someone that care about him or her.

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Jawab:

Penjelasan dengan langkah-langkah:

Predicate: H(x) = "x is a human"

Quantifier: ∀x

Rewritten: ∀x, H(x) → D(x)

Meaning: For all x, if x is a human, then x must die.

Predicate: A(x) = "x is an animal"

Predicate: E(x,y) = "x eats y"

Quantifier: ∃x, ∃y

Rewritten: ∃x, ∃y, A(x) ∧ A(y) ∧ E(x,y)

Meaning: There exist some x and y such that x is an animal, y is an animal, and x eats y.

Predicate: S(x) = "x is a student"

Predicate: W(x) = "x works hard"

Predicate: B(x) = "x is successful"

Quantifier: ∀x

Rewritten: ∀x, S(x) ∧ W(x) → B(x)

Meaning: For all x, if x is a student and x works hard, then x will be successful.

Predicate: C(x,y) = "x cares about y"

Quantifier: ∀x, ∃y

Rewritten: ∀x, ∃y, C(y,x)

Meaning: For all x, there exists some y such that y cares about x.

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Last Update: Tue, 13 Jun 23