For the following predicates: D(x): x is a dog B(x): x likes bone P(x) : x is a Poodle G(x) : x is a Golden Which of the following that express the statement "Every dog that likes bone is a Poodle but a Golden." using predicates and quantifiers.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For the following predicates:
D(x) : x is a dog
B(x) : x likes bone
P(x) : x is a Poodle
G(x) : x is a Golden
Which of the following that express the statement "Every dog that likes bone is a Poodle but a Golden." using predicates and quantifiers.
Transcribed Image Text:For the following predicates: D(x) : x is a dog B(x) : x likes bone P(x) : x is a Poodle G(x) : x is a Golden Which of the following that express the statement "Every dog that likes bone is a Poodle but a Golden." using predicates and quantifiers.
Vx(D(x) → B(x)) -
→ (P(x) and G(x))
O a.
Vx(D(x) —> В(x)) —> (Р(х) or G(xх))
Vx(D(x) and B(x)) → (P(x) and G(x))
Vx((D(x) and B(x))→ P(x)) and ((D(x) and B(x)) → G(x))
d.
Vx(D(x) and B(x)) → (P(x) and G(x))
O e.
O f. Vx(D(x) → B(x)) and (P(x) or G(x))
Transcribed Image Text:Vx(D(x) → B(x)) - → (P(x) and G(x)) O a. Vx(D(x) —> В(x)) —> (Р(х) or G(xх)) Vx(D(x) and B(x)) → (P(x) and G(x)) Vx((D(x) and B(x))→ P(x)) and ((D(x) and B(x)) → G(x)) d. Vx(D(x) and B(x)) → (P(x) and G(x)) O e. O f. Vx(D(x) → B(x)) and (P(x) or G(x))
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