3) Consider the following sets: A=(x/x² is even) B=(y/y² is odd) Which of the following is/are true? a) -2 ∈ A b)-6 ∈ A c) 5 ∈ B d) -5 ∈ B

Q: 3. Let U = {1,2,3,4,5), B = {4,5) and A and B are non-e of the following: a.) Bnc = {5}, C c A, B C…

A: U = {1,2,3,4,5} Given B = {4,5} A and B are non-empty sets

Q: Given, A={0,1}, B=null set C= {2,3} Find A xB, A X C, A u B, A\B, A\c, AX C, B intersection C and…

A: our objective is to find the solution.

Q: - For all sets A, B and C. Is (An B) U C =An (Bu C)? Justify your statement. You may ju

A: Yes, the above statement is false and the proof of above statement is given below:

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

A:

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

A:

Q: 3. Let A and B be two sets. Use set operation properties to prove the identity ,AÐB = AUBU (AO B).

A: To prove the identity

Q: 3. List all the entries of the following sets: a) A = {a la € Z+ and -11 < a ≤ 11} b) B = {b | b =…

A:

Q: For two sets, X and Y , if  X ∩ Y = ∅ , then which of the following is true? Choose one answer and…

A: Given that For two sets, X and Y, X∩Y=∅ To find which of the following statement is true:

Q: 6. Let A, B, and C be sets. Verify the following (you can use a membership table) a) An (BUC) =…

A: ∩ : and  ∪ : or  We have to prove :

Q: Find the number of elements in each of the following sets. a) A'nB b) An B c) (AUB)' = = = 100

A: here Ven diagram is given  according to diagram  we have to answers the number of elements for the…

Q: (a) Let S {2 ringleton is open set in (M, d). oce and let ACM. Prove that aA = O if and only if A is…

A: The problem is from Topology.

Q: Which of the following is true for all sets S and T? Select one: O A. SOT SOT B. SOT SUT C. SUT SOT…

A: see below the answer and explanation

Q: Which of the following statements on sets is FALSE? O a. AN A° = Ø O b. Equivalent sets are equal. O…

A:

Q: How would a mathematician say: “Take the set {s,u} and give it the name G” Let D = {u,j}. Is j a…

A: 1. Let, G=s,u 2. Consider a set D=u,j. A set X is a subset of another set Y. If all the elements of…

Q: 8. The universal set T and its subsets A, B, and C are defined as: T = (1,3,5,7,9,11} A = (3,7} B =…

A:

Q: the sets A {1,2,3,4,5), B = {3,4,5,7) and C= {2,4,6,8). Then the set (An C) B is a) {3,5} b) {3,5,7}…

A: A= 1,2,3,4,5 B = 3,4,5,7 C = 2,4,6,8

Q: M=DThe letters in the Note: There Ore isord" mathematics- l elements in the set. b.) M-B when M is…

A: As per rule we will solve only first three subparts. a)Given M is the set of lettes in the word…

Q: 1. List the elements of each set where N= {1,2,3...} a.) A = EN|3 < x < 9} %3D b.) B = x€ N|x is…

A:

Q: Suppose A is a set having n elements. a. How many relations are there on 4? b. How many reflexive…

A:

Q: Question 3 ɛ the universal set ={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let A = {1, 4, 8, 10}, B = {2, 4,…

A:

Q: b) By using the laws of set theory, show that [(A U B) n (An C)] u (B n C) = A U B.

A: Here we have to prove left hand side is equivalent to right hand side using laws of set theory

Q: Let A = {7m +1 : m € Z} and B = {14n – 6 : n € Z} be subsets of a universal set U. Justify why A ¢ B…

A: Consider the given sets:

Q: what is the product of two sets? B.) What does this mean? Can you give an example?

A: Concept: In set theory product of two set A and B means cartesian product which is represented by…

Q: For all sets D, E and F, if D- FCE-F then DUF CEUF.

A:

Q: If X = {£, P, $) and Y = {0,0,0), which of the following statement(s) is/are NOT true? i. The two…

A: The objects of the sets X and Y are totally different that is they have no common element as such.…

Q: given: set A = {a,b,c,d} into set B = {1,2,3,4}. which set of ordered pairs represent a bijection?

A: Consider the set S={(a,1), (b,2), (c,3), (d,4)} Here each element of A has exactly one image in B…

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: 3. Given X = {x|x-2}, and Z = {x|x< -3}, write the union or intersection in set-builder notation. а.…

A: Given that, X=x| x&lt;7, Y=x| x≥-2 and Z=x| x&lt;-3 Since,  Set X represents all real numbers less…

Q: or any of the sets id, bic it a,bsCthen a b anteo

A:

Q: (c) Every element in the set {0, 1, 2} is greater than or equal to half of its square. i. Original…

A:

Q: a) BUC b) Ac c) A B

A: 1. The given sets are A=1,2,3,4,5,B=2,4,6,8,10,C=1,3,5,7,9,D=5,10,15,20,25.

Q: Let W=set of all positive integers. A={1,2,3,4,5}, B={2,4,6,8,10}, C={1,3,5,7,9}, and…

A: Given info: W=set of all positive integers. A={1,2,3,4,5}, B={2,4,6,8,10}, C={1,3,5,7,9}, and…

Q: c) Let A and B be sets. Use properties of sets to show (A U B) n (A' O B)' = A

A: Given that                      A and B be sets. Then we have to show that…

Q: 5. Let A = [2,3] and B=[2,5], also let R be the universal set, Find the following sets and show them…

A:

Q: use a Venn diagram to determine which relationship, C, =, or 2, is true for the pair of sets. AUB,…

A:

Q: Let A = {2,3,4), B = (2,5,6), C = (5,6,2), and D= {6}. The universal set in this example is all…

A: Given that A=2,3,5, B={2,5,6},C={5,6,2} ,D={6}. The universal set is  U={1,2,3,4,5,6,7,8}