1.

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)

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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