Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set. (a) Set-builder form: {x x is an integer and x >-2} ... Roster form: (b) Roster form: (-6,-5,-4,-3,-2,-1} Set-builder form: (Choose one)

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x | x is a…

A: We have given that Let, A = {x | x is a digit in the number 264,353}

Q: List the elements of the set. (Enter your answers as a comma-separated list.) A = {n |n is a…

A: Given that, a set A is defined as: A=n|n is positive integer and 10<n<18 That implies the set…

Q: Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}…

A: (a) Given set is A=1,2,3,4,5,6,.... The set-builder notation of set A is given by A=x:x∈N   (b)…

Q: Survey 130 students. 60 take CS, 80 take Mathematics, 40 take Physics, 20 take both CS and Math, 20…

A: Solution

Q: Which of the following sets are closed? Choose ALL that apply. Show the steps. I. The set of…

A:

Q: Select the set that is equivalent to (Cn B) UA. (Cn B)UA (CUB) UA (CnB) nA (CUB) NA

A:

Q: Use the given information to find n(A x B) and n(B x A). n(A) = 33 and n(B) = 4 Find the number of…

A: If we have two sets A, B such that  the cardinality of A =m and, the cardinality of B =n then, the…

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Fill in the blanks in the following sentence: If A and B are any sets, then by definition of set…

A:

Q: Roster

A: Here we need to deal with the set of natural numbers.We know that the set natural numbers are the…

Q: Use the given information to find n(A× B) and n(B × A). n(A) = 67 and n(B) = 4 Find the number of…

A: Note:- Cartesian product of two sets is obtained by pairing each element of first set with each…

Q: If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, find the following. (Enter your answers as a…

A:

Q: Sets I and B are defined as follows. I={d,f, k} B= {b, c,f} Answer each part below. Write your…

A: The set X∪Y contains the elements that are present in either X or Y. The set X∩Y contains the…

Q: Use the Venn diagram shown to list the set BUC in roster form. U 22 10 12 6 13 19 18 B 9 BUC = {}…

A: Let B and C be two sets then the set union of B and C is denoted by B U C and is defined by  B U C =…

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Write a set that is equivalent but not equal to the set letters in the word major

A:

Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

Q: Rewrite the following using mathematical symbols: (a) A is equal to the set whose elements are a, b,…

A: The elements of a set are always presented using curly braces. If P is a subset of Q, then it can be…

Q: Determine the mode of the set of values. (Enter your answers as a comma-separated list. If there is…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.