For two sets, X and Y , if  X ∩ Y = ∅ , then which of the following is true? Choose one answer and explain. Set X and Y are disjoint? Set X and Y are intersecting? Y ⊆ X? None of a, b, or c

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: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: A W C с 3 р a 6.0 D g h f B

A:

Q: If sets A and B are disjoint and |A|=7and |B|=8, what is |A∪B|+|A∩B|?

A: Here given that sets A and B are disjoint and A=7 and B=8 .We have to find A∪B+A∩B.

Q: Let A= {x: x is a letter in the word FOLLOW}, B= {y: y is a letter in the word WOLF}. Which of the…

A:

Q: Given two sets A and B, are the sets A − B and B − A necessarily disjoint? Give a proof or a…

A: Given: A and B are two sets. We have to explain A-B and B-A is necessarily disjoint.

Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

Q: Give an example of two sets that meet the following condition. If the condition is impossible to…

A:

Q: Use any method you choose to show that An (B UC) = A U B n C, when A, B, and C are sets.

A:

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: Determine if each statement is true or false. 1. If A not equal to B then A ∩ B = empty set. 2. If…

A: we will be using basic set theory to answer these questions

Q: Construct an algebraic proof for the given statement. For all sets A and B , A- (A Ռ B) = A-B

A:

Q: Consider the following sets: S = {1, 2, 3, 4, 5}, T = {2,3,4,5}, U = {1,3,5). Which of the…

A: Given sets areWe know thatA set A is a subset of set B i.e.  if all elements of the set A are…

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|  8 and |B|  5, what is |A ∪ B| + |A ∩ B| ?

A:

Q: Let A and B be sets, where: A = {0, 5, 6, 8, 9} B = {0, 1, 2, 3, 5, 8} Write AU B: Write An B:

A:

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

A:

Q: Sets M and A are defined as follows. M={c, h, k} A = {a, c, g} Answer each part below. Write your…

A: Here we have to find intersection and union of given sets M and A.

Q: Consider the sets X and Y. Write the statement in symbols: The complement of the intersection of X…

A: Given,  X, Y are sets   Symbol for complement of the intersection of X and Y = (X ∩ Y)c

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”.