SETS
Asked by
| 28th Jun, 2008,
12:15: PM
Expert Answer:
For A =B A
B and B
A
For A
B
Let a be an element in A.
To show: ‘a
B
a
A⇒a
A
X = B
X (given)
a
B
X
a
B or a
X if a
B then A
B
If a
X and as a
A then a
A
X = B
X = Φ
using the intersection properties
So a cannot be in X
hence A
B
Similarly by the symmetric argument B
A



To show: ‘a B
a A⇒a
A
X = B
X (given)


a




If a





using the intersection properties
So a cannot be in X


Answered by
| 30th Jun, 2008,
10:15: AM
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