Give an example to show that if A U B and A ∩ B are given, then A and B may not be uniquely determinable.
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Answer:
x E B
Step-by-step explanation:
Example 30
Show that A U B = An B implies A = B
In order to prove A = B, we should prove
• A is a subset of B i.e. A CB
& B is a subset of A i.e. B CA
Let x E A.
Then, x EA UB.
Since A UB=AnB,
XEAN B.
So, x E B.
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