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1. Express each of these statements using predicates and quantifiers. a) All cats are mammals but not all mammals are cats. Let the domain for x be the set containing all animals. Let C(x): x is a cat. Let M(x): x is a mammal. b) Some birds eat fish. Let the domain for x,y be the set containing all animals. Let F(x): x is a fish. Let B(x): x is a bird. Let E(y,x): y eats x. c) All monkeys eat bananas. Let the domain for x be the set containing all animals. Let M(x): x is a monkey. Let E(x): x eats bananas.

1. Express each of these statements using predicates and quantifiers. a) All cats are mammals but not all mammals are cats. Let the domain for x be the set containing all animals. Let C(x): x is a cat. Let M(x): x is a mammal. b) Some birds eat fish. Let the domain for x,y be the set containing all animals. Let F(x): x is a fish. Let B(x): x is a bird. Let E(y,x): y eats x. c) All monkeys eat bananas. Let the domain for x be the set containing all animals. Let M(x): x is a monkey. Let E(x): x eats bananas.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Express each of these statements using predicates and quantifiers. a) All cats are mammals but not all mammals are cats. Let the domain for x be the set containing all animals. Let C(x): x is a cat. Let M(x): x is a mammal. b) Some birds eat fish. Let the domain for x,y be the set containing all animals. Let F(x): x is a fish. Let B(x): x is a bird. Let E(y,x): y eats x. c) All monkeys eat bananas. Let the domain for x be the set containing all animals. Let M(x): x is a monkey. Let E(x): x eats bananas.
Transcribed Image Text:1. Express each of these statements using predicates and quantifiers. a) All cats are mammals but not all mammals are cats. Let the domain for x be the set containing all animals. Let C(x): x is a cat. Let M(x): x is a mammal. b) Some birds eat fish. Let the domain for x,y be the set containing all animals. Let F(x): x is a fish. Let B(x): x is a bird. Let E(y,x): y eats x. c) All monkeys eat bananas. Let the domain for x be the set containing all animals. Let M(x): x is a monkey. Let E(x): x eats bananas.
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