Home
Class 11
MATHS
Show that A ∪ B = A ∩ B implies A = B...

Show that `A ∪ B = A ∩ B` implies `A = B`

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that A ∩ B = A ∩ C need not imply B = C .

Show that if A ⊂ B , then C – B ⊂ C – A .

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show that B = C .

Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ( B – A ) = ( A ∪ B )

For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

Assume that P ( A ) = P ( B ) . Show that A = B

Let A and B sets. Show that f : A xx B to Bxx A such that f (a,b) = (b,a) is bijective function.

Show that **: R × R to R defined by a **b=a + 2b is not commutative.

Using properties of sets, show that A ∪ ( A ∩ B ) = A