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elect the appropriate step from the given steps to prove the given statement. -)n (C- B) = Ø. What is the first step in the proof? Choose. /hat is the second step in the proof? Choose... Then x E A-C and x ¢ (C-B). The first of these statements implies by definition that x ¢ C, while the second implies that x E Then x E (A -C) and x E (C – B). This is a contradiction. Hence, the intersection of (A - C) and (C - B) is an empty set. /hat is the third step in the proof? /hat is the fourth step in the proof? Suppose that x E (A - C) n (C – B).

elect the appropriate step from the given steps to prove the given statement. -)n (C- B) = Ø. What is the first step in the proof? Choose. /hat is the second step in the proof? Choose... Then x E A-C and x ¢ (C-B). The first of these statements implies by definition that x ¢ C, while the second implies that x E Then x E (A -C) and x E (C – B). This is a contradiction. Hence, the intersection of (A - C) and (C - B) is an empty set. /hat is the third step in the proof? /hat is the fourth step in the proof? Suppose that x E (A - C) n (C – B).

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 85E
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Time left 1:2 Select the appropriate step from the given steps to prove the given statement. (A - C) n (C- B) = Ø. %3D What is the first step in the proof? Choose... What is the second step in the proof? Choose... Then x E A-C and x ¢ (C-B). The first of these statements implies by definition that x e C, while the second implies that x E C. Then x E (A - C) and x E (C - B). This is a contradiction. Hence, the intersection of (A - C) and (C- B) is an empty set. Suppose that x E (A - C) n (C-B). Then x is in A B and x is in C, which is a contradiction. Hence, the intersection of (A - C) and (C- B) is an empty set.. What is the third step in the proof? What is the fourth step in the proof? Next pag
Transcribed Image Text:Time left 1:2 Select the appropriate step from the given steps to prove the given statement. (A - C) n (C- B) = Ø. %3D What is the first step in the proof? Choose... What is the second step in the proof? Choose... Then x E A-C and x ¢ (C-B). The first of these statements implies by definition that x e C, while the second implies that x E C. Then x E (A - C) and x E (C - B). This is a contradiction. Hence, the intersection of (A - C) and (C- B) is an empty set. Suppose that x E (A - C) n (C-B). Then x is in A B and x is in C, which is a contradiction. Hence, the intersection of (A - C) and (C- B) is an empty set.. What is the third step in the proof? What is the fourth step in the proof? Next pag
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