Home
Class 11
MATHS
For all set A and B, (A uu B) - B = A ...

For all set A and B, `(A uu B) - B = A - B`.

Text Solution

Verified by Experts

LHS `= (A uu B) - B = (A uu B) nn B' , [:. A - B = A nn B']`
`= (A nn B') uu (B nn B') = (A nn B') uu phi , [:' B nn B' = phi]`
`= A nn B' , [:' A uu phi = A]`
`= A - B = RHS`
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 and B, (A - B) uu (A nn B) = A .

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

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

For any two sets A and BA nn(A uu B)=B b.A c.varphi d.none of these

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

For any two sets A and B,A nn(A uu B') is equal to A b.B c.varphi d.A nn B

For any two sets A and B, prove that A uu B=A nn B hArr A=B

[A - (B - A)] uu [B - (A - B)]

(A uu B) nn (A uu B ^ (c)) = A

Show that for any sets A and BA=(A nn B)uu(A-B) and A uu(B-A)=A uu B