of the followings are correct about the cardinality of the domain, codomain and range of a function? Which If the function is bijective, the cardinality of its domain is equal to the cardinality of its codomain. If the function is surjective, the cardinality of its domain is smaller than or equal to the cardinality of its codomain. If the function is injective, the cardinality of its domain is smaller than or equal to the cardinality of its codomain. The cardinality of its range is smaller than or equal to the cardinality of its codomain.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....
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Which of the followings are correct about the cardinality of the domain, codomain and range of a function?
□ If the function is bijective, the cardinality of its domain is equal to the cardinality of its codomain.
□ If the function is surjective, the cardinality of its domain is smaller than or equal to the cardinality of its codomain.
□ If the function is injective, the cardinality of its domain is smaller than or equal to the cardinality of its codomain.
The cardinality of its range is smaller than or equal to the cardinality of its codomain.
Transcribed Image Text:Which of the followings are correct about the cardinality of the domain, codomain and range of a function? □ If the function is bijective, the cardinality of its domain is equal to the cardinality of its codomain. □ If the function is surjective, the cardinality of its domain is smaller than or equal to the cardinality of its codomain. □ If the function is injective, the cardinality of its domain is smaller than or equal to the cardinality of its codomain. The cardinality of its range is smaller than or equal to the cardinality of its codomain.
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