Let A = {a, b, c, e, f} B = {c, d, e, g} and C = {b, c, f, g} be subsets of the set U = {a, b, c, d, e, f, g, h}.
(i) A ∩ B
(ii) A ∪ (B ∩ C)
(iii) A – B
(iv) B – A
(v) A – (B ∩ C)
(vi) (B – C) ∪ (C – B)
(i) A
B will contain the common elements of A and B
A
B = {c, e}
(ii) AU(B
C)
B
C = {c, d, g}
AU(B
C) = {a, b, c, d, e, f, g}
(iii) A - B implies the set of all elements in A that are not in B
A - B = {a, b, f}
(iv) B - A implies the set of all elements in B that are not in A
B - A = {d, g}
(v) A - (B
C) denotes elements of A that are not in B
C
A - (B
C) = {a, b, e, f}
(vi) (B - C)U(C - B) implies the union of sets B - C and C - B
B - C = {d, e}
C - B = {b, f}
(B - C)U(C - B) = {b, d, e, f}
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