Answer Happy

2: Proof that (An C) - BC (AB) n (C-B) ider the sentences in the following scrambled list. So by definition of set difference, x € A - B and x € C- By definition of intersection xe An C and x € B. By definition of set difference x € An C and x € B. Thus, by definition of intersection, x € A and x = C, and, By definition of intersection, xe (A - B) n (C - B). By definition of set difference, x E A and x € C. Hence both x € A and x B and also x = C, and x € B. ove Part 2, select sentences from the list and put them in the cor Suppose x € (An C) - B. ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- Hence, (A n C) - BC (AB) n (CB) by definition of subset.

1: Proof that (A - B) n (CB) ≤ (An C) - B ider the sentences in the following scrambled list. By definition of intersection, xe A and x B and x € Car By definition of set difference, x € A and x € B and x € C By definition of intersection, x = A - B and x = C - B. Therefore x € (An C) - B by the definition of set differen Thus x € An C by definition of intersection, and, in additi By definition of set difference, x = A - B and x = C - B. ove Part 1, select sentences from the list and put them in the cor Suppose x = (A - B) n (C - B). By definition of set difference, x € A and x B and x = C and x # B. Therefore x € (ANC) - B by the definition of set difference. ---Select--- ---Select--- Hence, (A - B) n (CB) ≤ (An C) - B by definition of subset.