f : A → B is a function, X is a finite subset of Z, and k is a positive integer For each of the following expressions say whether it is a set, a number or something else. Describe in words exactly what the object represented is. 1){b ∈ B : b = f(a) for some a ∈ A} 2)|{S ⊆ X : |S| = k}| 3) ∑ x x∈X

f : A → B is a function, X is a finite subset of Z, and k is a positive integer For each of the following expressions say whether it is a set, a number or something else. Describe in words exactly what the object represented is. 1){b ∈ B : b = f(a) for some a ∈ A} 2)|{S ⊆ X : |S| = k}| 3) ∑ x x∈X

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...

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