Question

Let A, B, and C be the sets such that AUB=AUC and AintersectionB=AintersectionC.
Show that B = C
​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

We know that XUY = X + Y + XintY

Here,

AUB = A + B + AintB.

AUC = A + C + AintC

But AUB = AUC

so, A + B + AintB = A + C + AintC

But A = A and AintB = AintC, these can be removed from both sides giving us,

B = C