2. Find the following cardinalities (Do not list the elements of the sets). (Notation: A² = A x A, for any set A.) Show your work. (a) ([10]2 - {1,3} {2,5,6}) {5,7,9} × {8, 10}|. (b) ([10]2 - {1,3, 4, 5} x {2, 5, 6, 7}) {4,5,6,7} x {2,7,8,9}|. (c) (([10]²[6]²) - {4, 5, 6, 7, 8, 9}²) - {1, 2, 4, 5, 7, 8}²|. -
2. Find the following cardinalities (Do not list the elements of the sets). (Notation: A² = A x A, for any set A.) Show your work. (a) ([10]2 - {1,3} {2,5,6}) {5,7,9} × {8, 10}|. (b) ([10]2 - {1,3, 4, 5} x {2, 5, 6, 7}) {4,5,6,7} x {2,7,8,9}|. (c) (([10]²[6]²) - {4, 5, 6, 7, 8, 9}²) - {1, 2, 4, 5, 7, 8}²|. -
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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![2. Find the following cardinalities (Do not list the elements of the sets). (Notation:
A² = A x A, for any set A.) Show your work.
(a) ([10]² - {1,3}
{2,5,6}) {5,7,9} x {8, 10}.
(b) ([10]2 - {1,3, 4, 5} x {2, 5, 6, 7}) {4, 5, 6, 7} x {2,7,8,9}|.
(c) (([10]2[6]2) - {4, 5, 6, 7, 8, 9}2) - {1, 2, 4, 5, 7, 8}2.
(d) ([10]² - {1, 2, 5, 6, 9, 10}²) - ({2, 3, 4, 5, 6, 7, 8, 9)² - {4, 5, 6, 7}²)|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd580b721-3664-446f-9ceb-e2cc456c38cd%2F089a4e24-38ae-4dc1-9f70-aaedf191a6fa%2Ftlic5tp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Find the following cardinalities (Do not list the elements of the sets). (Notation:
A² = A x A, for any set A.) Show your work.
(a) ([10]² - {1,3}
{2,5,6}) {5,7,9} x {8, 10}.
(b) ([10]2 - {1,3, 4, 5} x {2, 5, 6, 7}) {4, 5, 6, 7} x {2,7,8,9}|.
(c) (([10]2[6]2) - {4, 5, 6, 7, 8, 9}2) - {1, 2, 4, 5, 7, 8}2.
(d) ([10]² - {1, 2, 5, 6, 9, 10}²) - ({2, 3, 4, 5, 6, 7, 8, 9)² - {4, 5, 6, 7}²)|
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