Let A = {t, u, v, w} and let S1 be the set of all subsets of A that do not contain w and
Chapter 6, Problem 25(choose chapter or problem)
Let A = {t, u, v,w} and let \(S_{1}\) be the set of all subsets of A that do not contain w and \(S_{2}\) the set of all subsets of A that contain w.
a. Find \(S_{1}\).
b. Find \(S_{2}\).
c. Are \(S_{1}\) and \(S_{2}\) disjoint?
d. Compare the sizes of \(S_{1}\) and \(S_{2}\).
e. How many elements are in \(S_{1} \cup S_{2}\)?
f. What is the relation between \(S_{1} \cup S_{2}\) and \(\mathscr{P}(A)\)?
Text Transcription:
S_1
S_2
S_1
S_2
S_1
S_2
S_1
S_2
S_1 cup S_2
S_1 cup S_2
mathscr P(A)
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