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gunslinger
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Homework Statement
Prove that: A[itex]\cup[/itex](B[itex]\cup[/itex]C) = (A[itex]\cup[/itex]B)[itex]\cup[/itex]C
Homework Equations
The Attempt at a Solution
I never had to prove anything but I'll try.
A[itex]\cup[/itex](B [itex]\cup[/itex]C).
Take:
A = {1, 2, 3, 4, 5}, B = {5, 6, 7, 8, 9, 10}, C = {7, 8, 9, 10}
(B[itex]\cup[/itex]C) = P
If A[itex]\cup[/itex]P means A, united with the union of B and C, which is {5, ..., 10}. Their union is {1, ..., 10}
Now take (A[itex]\cup[/itex]B) = P
P = {1, ..., 10}
P[itex]\cup[/itex]C = {1, ..., 10}
With that I prove that the problem above is True :P But is that enough?
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