Mathematics
Let A = {a, b, c}, B = {b, d, e} and C = {e, f, g}, verify that :
(i) A ∪ B = B ∪ A
(ii) (A ∪ B) ∪ C = A ∪ (B ∪ C)
(iii) A ∩ B = B ∩ A
(iv) (A ∩ B) ∩ C = A ∩ (B ∩ C)
Related Questions
Let A = {2, 4, 6, 8}, B = {6, 8, 10, 12} and C = {7, 8, 9, 10}. Find :
(i) A ∪ B
(ii) A ∪ C
(iii) B ∪ C
(iv) A ∩ B
(v) A ∩ C
(vi) B ∩ C
Let P = {x : x is a factor of 18} and Q = {x : x is a factor of 24}.
(i) Write each one of P and Q in Roster form.
(ii) Find:
(a) P ∪ Q
(b) P ∩ Q
Let A = {x : x is a multiple of 2, x < 15}, B = {x : x is a multiple of 3, x < 20}, C = {x : x is a prime, x < 20}.
(i) Write each one of the sets A, B, C in Roster form.
(ii) Find:
(a) A ∪ B
(b) A ∪ C
(c) B ∪ C
(d) A ∩ B
(e) A ∩ C
(f) B ∩ C
Let A = {b, d, e, f}, B = {c, d, g, h} and C = {e, f, g, h}. Find :
(i) A - B
(ii) B - C
(iii) C - A
(iv) (A - B) ∪ (B - A)
(v) (B - C) ∪ (C - B)