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[" Which one of the following is correct? "],[" (a) "A times(B-C)=(A-B)times(A-C)],[" (b) "A times(B-C)=(A times B)-(A times C)],[" (c) "A nn(B uu C)=(A nn B)uu C],[" (d) "A uu(B nn C)=(A uu B)nn C]

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Prove that A nn(B uu C) =(A nn B) uu (A nn C)

Which one of the following is correct? a A uu(B-C)=A nn(B nn C') b) A-(B uu C)=(A nn B')nn C' c) A-(B nn C)=(A nn B')nn Cd)A nn(B-C)=(A nn B)nn C

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If A and B and C are three non-empty sets, then which of the following is/are not true ? (A) n(A xx B) = n(B xx C) hArr n(A) = n(C) (B) A - (B nn C) = (A - B) nn (A - C) (C ) A uu (B nn C) = (A uu B) nn (A uu C) (D) (A nn B) - C = (A-C) nn (B - C)

If A, B and C be sets. Then, show that A nn (B uu C) = (A nn B) uu (A nn C) .

If A, B and C be sets. Then, show that A nn (B uu C) = (A nn B) uu (A nn C) .

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If A uu B = A uu C and A nn B= A nn C , then

By taking suitable sets A,B,C, verify the following result : (i) A xx(B cap C)= (A xx B) cap (A xx C). (ii) A xx(B cup C)=(Axx B) cup (AxxC). (iii) (AxxB) nn (BxxA) = (AnnB) xx (BnnA). (iv) C-(B-A)= (CnnA) uu (CnnB'). (v) (B-A) nn C=(B nn C)-A=Bnn(C-A). (vi) (B-A)uu C=(BuuC)-(A-C).