Let A and B be nonempty sets. Prove that A x B = B x A if and only if A = B.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 17E
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![Let A and B be nonempty sets. Prove that A x B = B x A if and only if
A = B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6195f099-697f-489e-94ae-c77f1a063c08%2F81af8a5c-0964-4b71-85ed-40bf39f78c94%2F3dbbgoe_processed.png&w=3840&q=75)
Transcribed Image Text:Let A and B be nonempty sets. Prove that A x B = B x A if and only if
A = B.
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