Question: Click and drag the given steps to their corresponding step number to prove (A - C) (C - B) = 0. Step 1 Suppose

Click and drag the given steps to their corresponding step number to prove (A - C) ∩ (C - B) = 0. 

Step 1 Suppose that x (A - C) n (C- B). Then

Step 1 Suppose that x (A - C) n (C- B). Then x (A - C) and x (C- B) Step 2 Then x (A - C) and x (C- B) Step 3 The first of these statements implies by definition that x C, while the second implies that x C. Step 4 This is contradiction. Hence the interaction of (A - C) and (C- B) is the empty set. The first of these statements implies by definition that x C, while the second implies that x E C.

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