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Let P be a set of all subset of set X. Prove that the functions defined by cup : P xx P to P, (A,B) to A cupB and cap : PxxP to P, (A,B) to A cap Bare binary on P. |
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Answer» Solution :`:'` Union operation `CUP` relates every PAIR (A,B) of `P XX P` to unique element of `A cup B`. `:.` It is a binary operation. `:.` Intersection operation `cap` relates every pair (A,B) of `P xx P` to unique element of `A cap B` `:.` It is a binary operations. HENCE PROVED. |
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