Let A, B, and C be sets.Then, in general, A - (B INTERSECTION C) = (A - B) INTERSECTION (A - C).Question 5AnswerTrue False

For any two sets A and B, A-B = A ∩ B'.Question 2Select one:TrueFalse

(A ∩ B) ∪ (A ∩ C)

Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. Show that B = C.Solution:

The sets A-B, A ∩ B, and B-A are disjoint.Question 1Select one:TrueFalse

Let A = {1, 2}, B = {2, 3} and C = {1, 2, 3}.(a) Indicate whether each of the following statements is true or false and provide a brief explanation.(i) A ∩ B ∈ C