Home
Class 11
MATHS
For all sets A, B and C, A - (B - C) = (...

For all sets A, B and `C, A - (B - C) = (A - B) - C`.

Text Solution

Verified by Experts

See the Venn diagrams given below. Where shaded portions are representing `A - (B- C)` and `(A-B)-C` respectively.

Clearly `A - (B - C) ne (A - B) - C`.
Hence, given statement is false.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT EXEMPLAR|Exercise LONG ANSWERS TYPE QUESTIONS|6 Videos
  • SETS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|14 Videos
  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos
  • STATISTICS

    NCERT EXEMPLAR|Exercise FILLERS|7 Videos

Similar Questions

Explore conceptually related problems

For all sets A, B and C, if A sub B , then A nn C sub B nn C .

For all sets A, B and C, if A sub B , then A uu C sub B uu C .

For all sets A,B and C : Is (A-B) cap(C-B)=(AcapC)-B ? Justify your answer :

For all set A,B and C is (A cap B)cupC = A cap (B cup C) ?Justify your answer.

Statement-1 If U is universal set and B = U - A, then n(B) = n(U) - n(A). Statement-2 For any three arbitrary sets A, B and C, if C = A - B, then n(C ) = n(A) - n(B).

Four three sets A,B,C,A- (B cup C) = ?

For all sets A, B and C, if A sub C and B sub C , then A uu B sub C .

For all sets a B and C show that (A-B)nn(A-C)=A-(B uu C)

For any three sets A, B and C, prove that: (A -B) xx C= (A xx C) - (B xx C)

Let U be the universal set and A uu B uu C = U . Then {(A - B) uu (B- C) uu (C-A)} is equal to -