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,andSz disjoint?YesO No(d) Compare the sizes of S, and S,.S, has| elements, and S, has| elements. Therefore, the size of s, --Select--the size of S,.(e) How many elements are in S, U S,?(f) What is the relation between S, us, and P(A)?s, u s, is not a subset of P(A)O P(A) is not a subset of S, u S,O P(A) is a proper subset of S, u S,O s, us, is equal to P(A)S, Us, is a proper subset of P(A)Nood Heln2Bend

Given: A=t,u,v,w (a).S1= All subset of A ,that do not contain w Therefore,…

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 S2. (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) (c) Are s, and S, disjoint? O Yes No (d) Compare the sizes of S, and S2. s, has ] elements, and S, has | | elements. Therefore, the size of s, -Select-- v the size of Sz. (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 not a subset of P(A) O P(A) is not a subset of S, u S2 O P(A) is a proper subset of S, u S, O s, u Sz is equal to P(A) O s, usz is a proper subset of P(A)

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 S2. (Enter your answer in set-roster notation. Enter EMPTY or Ø for the empty set.) (c) Are s, and S, disjoint? O Yes No (d) Compare the sizes of S, and S2. s, has ] elements, and S, has | | elements. Therefore, the size of s, -Select-- v the size of Sz. (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 not a subset of P(A) O P(A) is not a subset of S, u S2 O P(A) is a proper subset of S, u S, O s, u Sz is equal to P(A) O s, usz is a proper subset of P(A)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

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
Sz disjoint?
Yes
O No
(d) Compare the sizes of S, and S,.
S, has
| elements, and S, has
| elements. Therefore, the size of s, --Select--
the size of S,.
(e) How many elements are in S, U S,?
(f) What is the relation between S, us, and P(A)?
s, u s, is not a subset of P(A)
O P(A) is not a subset of S, u S,
O P(A) is a proper subset of S, u S,
O s, us, is equal to P(A)
S, Us, is a proper subset of P(A)
Nood Heln2
Bend

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