Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. {x\x is a multiple of 3} U {x|x is a multiple of 4}

Q: (a) An (B − A) = Ø.

A: Given data:- The given equation,  A∩(B-A)=φ

Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

A: First show if A∪B=A∩B then A=B, then show that if A=B then we have A∪B=A∩B.

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A={2, 3, 6, 7}, and B = {3, 5, 6}. Find the set A¹ n B'. A' B'= (Use…

A:

Q: Express the set in roster form. B = (x | XEN and x is a multiple of 7)

A: For given set B we have to write it in roster form.

Q: of subsets for M = {x | x is an integer between 1 and 7} Set M has subsets.

A: We have to check whether given statement is true or false.

Q: Find the number of subsets for the set. M = {x|x is an integer between 4 and 11} Set M has subsets.

A:

Q: Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. {1, 2, 3, 4, 5} n {3, 4,…

A: We have to find correct answer..

Q: Find

A: First we write U as universal set. Then find complement.

Q: List the elements of the given set. the set N of all negative integers greater than or equal to −2 N…

A: We have to find the set of all negative integers greater than or equal to-2 . The solution is…

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: if A and B are set, then A x B=B x A  True or False

A:

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

A:

Q: Find the complement of the set given that U = {x | xEI and -3 < x< 5}- {x | x EI and -2 <x < 2}

A:

Q: A = {2, 5, 6}, B = {1, 2, 3, 7}, C = {x|x € Z, x > 0, x < 10}, D = {10, 11} a. Write out An B b.…

A:

Q: Let U = { 1,4,5,7,9} A = { 1,4,7} B = {3,5} Determine B X A

A: Given Let U = { 1,4,5,7,9} A = { 1,4,7} B = {3,5}

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”.