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(i) AU B = BU A (ii) AU C = CU A (iii) BU C = CUB
(iv) An B = B n A (v) B n C = C n B (vi) An C = C n A
(vii) (AU B) UC =AU (BU C) (viii) (An B) n C =An (B n C)
{!)tA = {a, b, c, d, e), B = (a, c, e, g} and C = {b, e, f, g}, verify that:
(i) An (B - C) = (An B) - (An C) t' (ii) A - (B n C) = (A - B) u (A - C)
.....~ ·~ A= {x:xeN,x~7},B = {x:x is prime, x < 8} and C= {x:xeN,x is odd
Y"' and x < 10}, verify that:
(i) A u(B nC) =(A uB) n(A uC) (ii) A n(B uC) =(A nB) u(A nC)
34 Senior Secondary School Mathematics for Class 11
C!}lfU = {l, 2, 3, 4, 5, 6, 7, 8, 9}, A= {2, 4, 6, 8} and B = {2, 3, 5, 7}, verify that:
(i) (Au B)' =(A' n B') (ii) (An B)' =(A' u B')
@ Let A ={a, b, c}, B ={b, c, _d, e} and C ={c, d, e, f} be subsets of
U ={a, b, c, d, e, f}. Then, verify that:
(i) (A')' = A (ii) (Au B)' =(A' n B') (iii) (An B)' =(A' u B')
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