The intersection A n(B n C) is an empty set: {∅}
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
If you want to learn more about sets:
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