Home
Class 11
MATHS
Let A, B and C be three sets such that A...

Let A, B and C be three sets such that `AuuB = AuuC and AnnB = AnnC`. Show that B = C.

Text Solution

Verified by Experts

Given that `A uu B=A uu C`
`=>`(`A uu B`)`nnC`=(`A uu C`)`nnC`
`=>`(`AnnC`)`uu`(`BnnC`)=`C` [because (`AuuC`)`nnC`=`C`]
`=>`(`AnnB`)`uu`(`BnnC`)=`C`..........(1) [because(`AnnC`)=`AnnB`]
...
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|34 Videos

  • SETS

    NCERT ENGLISH|Exercise EXERCISE 1.3|9 Videos

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.5|6 Videos

  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos

Similar Questions

Explore conceptually related problems

Let A , B and C be the sets such that A uu B=A uu C and A nn B = A nn C . show that B=C

If A, B and C are three sets such that A cup B = A cup C and A cap B = A cap C , then prove that B = C .

If A,B and C are three sets such that A cup B = C and A cap B = phi , then prove A = C - B .

If A,B and C are three sets such that A cap B = A cap C and A cup B = A cup C then

If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC , then (1) A""=""B (2) A""=""C (3) B""=""C (4) AnnB""=varphi

Let A ,B and X be three sets such that A cap X= B cap X = phi and A cup X = B cup X .Then show that A=B .

Three sets A,B and C are such that A=B nnC and B=CnnA

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

Let A, B, C be three events such that A and B are independent and P(C) = 0 , then events A, B ,C are

Let A, B, C be three events such that A and B are independent and P(C) = 0 , then events A, B ,C are