Let A be an uncountable set, and B a countable set. Prove that AUB is uncountable.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 3TFE: Label each of the following statements as either true or false. The least upper bound of a nonempty...
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![Let A be an uncountable set, and B a countable
set. Prove that A UB is uncountable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3656ed06-13a4-4cec-81c6-79397b7aa005%2F8d88993b-b721-4933-9ee1-dd206e935d17%2Fadypog2_processed.png&w=3840&q=75)
Transcribed Image Text:Let A be an uncountable set, and B a countable
set. Prove that A UB is uncountable.
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