Order the 11 following sentences so that they form a logical proof of the statement below using double inclusion to prove the equality, and direct method in both cases: For any non-empty sets B and D Order B\D=BnD Sentences a. Letz € BD b. By definition, z € Band z E D C. E BOD d. Hence, z € B and a D e. r € B\D f. Hence, a E B and a € D g. Let z E BnD. h. Thus, B D C BnD. i. Therefore, B\D=BnD. j. Then, Bn DC BD. k. By definition, 2 E B and a D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 14E: Assume that is a binary operation on a non empty set A, and suppose that is both commutative and...
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Order the 11 following sentences so that they form a logical proof of the statement below using
double inclusion to prove the equality, and direct method in both cases:
For any non-empty sets B and D
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B\D=BnD
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a. Letz € B\D
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c. xEBND
d. Hence, z E B and a D
e. a E BD
f. Hence, a E B and a € D
g.
Let z E BnD
h. Thus, B-DC BnD.
i. Therefore, B\D=BnD.
j. Then, Bn DC BD.
k.
By definition, a E B and a D
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Transcribed Image Text:es Tab Window Help ts/1885298 ) 00 X Differences Between Anthrop X Order RRRRRRRRR Module 3 Discu....html Reattempt last question below, or select another question Order the 11 following sentences so that they form a logical proof of the statement below using double inclusion to prove the equality, and direct method in both cases: For any non-empty sets B and D MacBook Pro Search results for 'Order the X + B\D=BnD Sentences a. Letz € B\D b. By definition, a E Band z E D c. xEBND d. Hence, z E B and a D e. a E BD f. Hence, a E B and a € D g. Let z E BnD h. Thus, B-DC BnD. i. Therefore, B\D=BnD. j. Then, Bn DC BD. k. By definition, a E B and a D [4] Tue 4:50 PM Programming A....docx tv Û Rahshann W Show All D E X IG
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ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,