Home
Class 11
MATHS
For any two sets A and B prove the follo...

For any two sets A and B prove the following: `A-(A-B)=AnnB`

Text Solution

AI Generated Solution

To prove that \( A - (A - B) = A \cap B \), we will follow a step-by-step approach. ### Step 1: Understand the Left-Hand Side (LHS) We start with the left-hand side of the equation: \[ LHS = A - (A - B) \] This expression means we are taking the set \( A \) and removing the elements that are in the set \( A - B \). ...
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWERS TYPE QUESTIONS|6 Videos

  • SETS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|14 Videos

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR ENGLISH|Exercise Match the comumms|2 Videos

  • STATISTICS

    NCERT EXEMPLAR ENGLISH|Exercise FILLERS|7 Videos

Similar Questions

Explore conceptually related problems

For any two sets A and B prove the following: A-B=ADelta(AnnB)dot

For any two sets A and B prove the following: Ann(A^(\ )uuB)'=varphi

For any two sets A and B prove the following: Ann(A^(prime)uuB)=AnnB

For any two sets A and B, prove that : (i) A - (A-B)=A capB (ii) A cap (A' cup B) = A cap B .

For any two sets A and B, A' – B'=

For any two sets A and B, prove that : P(A)=P(B)rArrA=B

For any two sets A and B, prove that : (i) (A capB)cup(A-B)=A (ii) A cup(B-A)=A cupB .

For any two sets A\ a n d\ B ,\ prove that AnnBsubA

For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

For any two sets A\ a n d\ B ,\ prove that BsubAuuB