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NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the steps on the left to their corresponding step number on the right to prove the given statement. An (B-A)=Ø By definition of set difference, x belonging to B - A means that x is in B and x is not in A. Therefore, An (B-A) is empty. Suppose that An (B-A) is non empty set and x belongs to An (B-A). Then x belong to A and x belong to B - A. Therefore, x is in A and x is not in A. That is a contradiction. By definition of set difference, x belonging to B - A means that x is in B and x is in A. Therefore, An (B-A) is not empty. Therefore, x is in A and x is in A.

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the steps on the left to their corresponding step number on the right to prove the given statement. An (B-A)=Ø By definition of set difference, x belonging to B - A means that x is in B and x is not in A. Therefore, An (B-A) is empty. Suppose that An (B-A) is non empty set and x belongs to An (B-A). Then x belong to A and x belong to B - A. Therefore, x is in A and x is not in A. That is a contradiction. By definition of set difference, x belonging to B - A means that x is in B and x is in A. Therefore, An (B-A) is not empty. Therefore, x is in A and x is in A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the steps on the left to their corresponding step number on the right to prove the given statement. An (B-A) = 0 By definition of set difference, x belonging to B-A means that x is in B and x is not in A. Therefore, An (B-A) is empty. Suppose that An (B-A) is non empty set and x belongs to An (B-A). Then x belong to A and x belong to B - A. Therefore, x is in A and x is not in A. That is a contradiction. By definition of set difference, x belonging to B-A means that x is in B and x is in A. Therefore, An (B-A) is not empty. Therefore, x is in A and x is in A.
Transcribed Image Text:Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the steps on the left to their corresponding step number on the right to prove the given statement. An (B-A) = 0 By definition of set difference, x belonging to B-A means that x is in B and x is not in A. Therefore, An (B-A) is empty. Suppose that An (B-A) is non empty set and x belongs to An (B-A). Then x belong to A and x belong to B - A. Therefore, x is in A and x is not in A. That is a contradiction. By definition of set difference, x belonging to B-A means that x is in B and x is in A. Therefore, An (B-A) is not empty. Therefore, x is in A and x is in A.
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the steps on the left to their corresponding step number on the right to prove the given statement. A-BCA Step 1 Step 2 Step 3 By simplification, x is in A. By definition, x is in A and x is not in B. By definition, x is not in A and x is in B. By simplification, x is not in A. Suppose x is in A - B. < Prev 12 13 of 26 Reset ‒‒‒ Next xt jh
Transcribed Image Text:Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the steps on the left to their corresponding step number on the right to prove the given statement. A-BCA Step 1 Step 2 Step 3 By simplification, x is in A. By definition, x is in A and x is not in B. By definition, x is not in A and x is in B. By simplification, x is not in A. Suppose x is in A - B. < Prev 12 13 of 26 Reset ‒‒‒ Next xt jh
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