We prove the following statement using element proof and contradiction. For all sets B and C, (B-C) - B = { } Which statement is the initial supposition in the proof? Let B and C be some sets where (B-C) -B is not empty and let x be any element in (B-C) - B Let B and C be any sets where (B-C)-B ={} and let x be any element in (B-C)-B Let B and C be any sets where (B-C)- B = {} and let x be any element in C Let B and C be some sets where (B-C)-B is not empty and let x be an element in (B-C) - B

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
Question
26 ) good handwriting please
We prove the following statement using element proof and contradiction.
For all sets B and C, (B-C) - B = { }
Which statement is the initial supposition in the proof?
Let B and C be some sets where (B-C) -B is not empty and let x be any element
in (B-C) - B
Let B and C be any sets where (B-C)-B ={} and let x be any element in (B-C)-B
Let B and C be any sets where (B-C)- B = {} and let x be any element in C
Let B and C be some sets where (B-C)-B is not empty and let x be an element in
(B-C) - B
Transcribed Image Text:We prove the following statement using element proof and contradiction. For all sets B and C, (B-C) - B = { } Which statement is the initial supposition in the proof? Let B and C be some sets where (B-C) -B is not empty and let x be any element in (B-C) - B Let B and C be any sets where (B-C)-B ={} and let x be any element in (B-C)-B Let B and C be any sets where (B-C)- B = {} and let x be any element in C Let B and C be some sets where (B-C)-B is not empty and let x be an element in (B-C) - B
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