Define the sets A, B, C, D, and E as follows: • A = {x ER: x < -2} • B = {x ER: x > 2} ● • C= {xER: x < 2} • D= {x € R: |x|≤ 2} • E= {x ER: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied? No. AU BUC R because 2, -2 €AU BUC. O No. Because AUB UC = R Yes. A U BUC # R because 2, -2 # AU BUC. O Yes. A U BUC =R because 2, -2 € AU BUC.

Q: Let N be the set of all ounting numbers: 1, 2, 3,.... Consider these set definitions: A = {z € N| (4…

A: The complete answer is given below.

Q: The correct statements are: Diagonalization can be used to prove a set is countable. Diagonalization…

A: Option A) Diagonalization can be used to prove a set is uncountable.

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A: A fuzzy set is a pair X, m(A)) where X is a Universal set and mA) is a membership function or degree…

Q: Prove that the next issue is in the NP class: An integer t and a collection of integers S have…

A: The two requirements of the NP class must be demonstrated in order to demonstrate that the issue of…

Q: (AU B) N (BU c)n(Au c) =A OB NC

A: We know there are a number of different set identities such as: Identity Laws:  A∪∅=A, A∩U=A…

Q: Binomial Coefficient Let A be a set, where A = {1,2, 3, ..., 8}. How many size-4 subsets does A…

A: This question is about binomial coefficient in which n elements and k choices and we have to find in…

Q: (BU C) n Let A, B, and C be sets. Using the Identities sets table, show that (A U B) n (AUC) = ĀnBnc…

A: Let A, B and C be sets. Using the Identities sets table, show that following expression. we know…

Q: Construct an explicit bijection between the following sets. Once you've done that, construct…

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Q: Let S be a set with |S| = 5. How many relations are there on S? А. 5! В. 55 С. 520 D. 525 Е. 225

A: There are E. 225 relations on S.

Q: Write a set that is result of the following operation: a. (ANB) U C b. (Bx C) (Cartesian product)…

A:

Q: De Morgan’s laws also apply to sets.   De Morgan’s laws   (A U B)’ =  A’ ∩ B’ (A ∩ B)’ =  A’ U…

A: Given equation to prove:A – (A – B) = A ∩ BGiven De Morgan’s laws(A U B)’ =  A’ ∩ B’(A ∩ B)’ =  A’ U…

Q: Please help me on the questions below. This are questions on Discrete mathematics. Please help…

A: Below is the complete solution with explanation in detail for the given question about sets and…

Q: Question 10. Let A, B and C be sets. Show that (AC) n (C - B) = Ø

A: Note: Answering the question in python as no programing language is mentioned. Task : The input set…

Q: If A and B are sets, several other sets can be constructed from them: the intersection of A and B,…

A: Here in this question we have given two set and we have asked to find cardinality of these set after…

Q: Let S be the universal set, where: S = {1, 2, 3,..., 18, 19, 20} Let sets A and B be subsets of S,…

A: S = {1, 2, 3,..., 18, 19, 20}set A = {2, 3, 4, 9, 10, 19, 20}set B = {1, 3, 4, 5, 6, 10, 11, 12, 14,…

Q: List down the elements of the following sets:   {x ∈ ℤ : -2 ≤ x <7}

A: Given List down the elements of the following sets:   {x ∈ ℤ : -2 ≤ x &lt;7}

A potential method of analysis

The complexity of the algorithm model emphasizes the potential method. This method is useful for examining a data structure's amortized time and space complexity.