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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) |
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Answer» (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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