Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and S, the set of all subsets of A that contain w. (a) Find S,- (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) (b) Find S,: (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) (c) Are S, and s, disjoint? O Yes O No (d) Compare the sizes of S, and S,. S, has elements, and s, has elements. Therefore, the size of S, -Select-- v the size of S,. (e) How many elements are in S, U S,? (f) What is the relation between S, US, and P(A)? O s, Us, is equal to P(A) O s, Us, is a proper subset of P(A) O s, Us, is not a subset of P(A) O P(A) is a proper subset of s, US, O P(A) is not a subset of S, U S,
Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and S, the set of all subsets of A that contain w. (a) Find S,- (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) (b) Find S,: (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) (c) Are S, and s, disjoint? O Yes O No (d) Compare the sizes of S, and S,. S, has elements, and s, has elements. Therefore, the size of S, -Select-- v the size of S,. (e) How many elements are in S, U S,? (f) What is the relation between S, US, and P(A)? O s, Us, is equal to P(A) O s, Us, is a proper subset of P(A) O s, Us, is not a subset of P(A) O P(A) is a proper subset of s, US, O P(A) is not a subset of S, U S,
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Let A = {t, u, v, w}, and let S, be the set of all subsets of A that do not contain w, and S, the set of all subsets of A that contain w.
(a) Find S,. (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.)
(b) Find S,: (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.)
(c) Are S, and S, disjoint?
O Yes
O No
(d) Compare the sizes of S, and S,.
S, has
elements, and S, has
elements. Therefore, the size of S, -Select---
v the size of S,.
(e) How many elements are in S, U S,?
(f) What is the relation between S, U S, and P(A)?
O s, Us, is equal to P(A)
O s, Us, is a proper subset of P(A)
O s, Us, is not a subset of P(A)
O P(A) is a proper subset of s, U S,
O P(A) is not a subset of S, U S,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa28e667e-d0bd-42fc-8ff7-fbe8b481d237%2Fe18f675f-3c8e-48b1-b3c2-f7500f4eb0e4%2Fc6m1r63_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A = {t, u, v, w}, and let S, be the set of all subsets of A that do not contain w, and S, the set of all subsets of A that contain w.
(a) Find S,. (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.)
(b) Find S,: (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.)
(c) Are S, and S, disjoint?
O Yes
O No
(d) Compare the sizes of S, and S,.
S, has
elements, and S, has
elements. Therefore, the size of S, -Select---
v the size of S,.
(e) How many elements are in S, U S,?
(f) What is the relation between S, U S, and P(A)?
O s, Us, is equal to P(A)
O s, Us, is a proper subset of P(A)
O s, Us, is not a subset of P(A)
O P(A) is a proper subset of s, U S,
O P(A) is not a subset of S, U S,
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