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.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 2TFE: Label each of the following statements as either true or false. 2. for all nonempty sets A and B.

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