Question

I am not sure what the set/sets are supposed to be...

Answer 1

Answer:

  see the attachment

Step-by-step explanation:

(a) S1 is the set of all subsets of {t, u, v}. There are 2^3 = 8 subsets, the EMPTY set being one of them. They are listed in the attachment.

It seems likely your answer will need to match that shown in the attachment:

  {EMPTY, {t}, {u}, ... , {t, u, v}}

where the elements of multi-element sets are listed separately: {t, u}, not {tu}.

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(b) S2 is the set S1 with w added to each subset. (see the attachment for a listing)

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(c) Correct, the sets are disjoint, since every set in S1 is different from every set in S2.

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(d) Each set has 8 elements; the sets are the same size. You know this because you created set S2 from set S1. (See (b), above.)

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(e) The sets are disjoint (see (c)), so the total number of elements in their union is the total of the numbers of elements in each set: 8 + 8 = 16.

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(f) P(A) is undefined here, so none of these questions can be answered.