If A,B and C are sets, then A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

Q: If A,B and C are sets, then (AUB)-C= (A – C)U(B –C). %3D |

A: 14. Given three sets A, B and C. We have to prove that A∪B-C=A-C∪B-C. In order to prove that 2 sets…

Q: Let ? = {1, 2} and ? = {1, 2, 3}. List all the elements in the set (? × ?) ∩ (? × ?)

A: A = {1,2} and, B = {1,2,3} So, A×B = {(1,1,), (1,2), (1,3), (2,1), (2,2), (2,3)} &, B×A =…

Q: If A and B are finite sets, then A ∪ B is also a finite set

A: Let A and B are finite sets. We need to show that , A ∪ B is also finite set. case 1) If A = B = ϕ A…

Q: If A and B are sets, and A = B, then A and B cannot be disjoint. True False

A: Given that If A and B are sets and A=B then A and B cannot be disjoint.

Q: 2. Find sets A, B, C, D such that the sets (An B) U (C\ D), ((An B)U C) \ D, An(BU C) \ D, An(BU (C\…

A: Example of such set A,B,C,D are given below

Q: For all sets A, B, and C, it holds that (An C) U (B \ C) = (B U C) \ (C \ A). True False

A: We have solve the set true and false

Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: Let A and B be two sets with a finite number of elements. Show that the number of elements in An B…

A: Given A and B are two finite sets. To show that the number of elements in A∩B plus the number of…

Q: Prove that if A and B are sets, then P(A) U P (B) C P(AUB).

A:

Q: Show that for all sets A, B and C, If A CB, then B CA.

A:

Q: Let A, B, and C be sets. Show that (A − B) − C = (A − C) − (B − C).

A:

Q: What can you say about the sets A and B if A ⊕ B = A?

A: The symmetric relation is described as, A ⊕ B =(A-B) U (B-A)

Q: If A, B,C, and D are sets, does it follow that (A ⊕ B) ⊕ (C ⊕ D) = (A ⊕ C) ⊕ (B ⊕ D)?

A: The symmetric difference between the set is associative and commutative. So, (A⊕B) ⊕C=A⊕(B⊕C)…

Q: For every two sets A and B, if A–B = B – A , then A-B=Ø. For every two sets A and B, ANBCA-B.

A: (4) Given A and B are two set such that A-B=B-A for every A and B We have to show that A-B=∅ Now,…

Q: The set of elements common to both set A and set B is called the of sets A and B, and is symbolized…

A: The set of elements common to both set A and set B is called the ________ of sets A and B, and is…

Q: Let A, B, and C be non-empty sets. Then A×B×C=A×C×B if and only if*

A: Let us consider four set A , B, C and D then AxC=BxD if all the elements of A are same as all the…

Q: If a universal set contains 250 elements,

A:

Q: If A,B and C are sets, then A x (B-C) = (A × B)- (A x C). |

A:

Q: Let C and D be subsets of a universal set U, then (C ∪ D) ⊆ (C ∩ D).

A: Given C and D are two subsets of universal set U.

Q: What can you say about the sets A and B if (An B') = {}

A:

Q: If A and B are sets; A and B denote the complements of the sets A and B, then set (A- B)U(B –…

A: Using venn diagram we solve this question.

Q: Show that if A, B, and C are sets, then|A ∪ B ∪ C| = |A| + |B| + |C| − |A ∩ B| − |A ∩ C| − |B ∩ C| +…

A:

Q: Show that if A, B, and C are sets, then A n Bn C = A U BUC a) by showing each side is a subset of…

A:

Q: if A and B are sets, then A x B=B x A

A:

Q: Let A, B, and C be non-empty sets. Then A×B×C=A×C×B if and only if

A: A, B, C are three non empty sets,  And, it is given that A × B × C = A × C × B

Q: Prove that if A and B are sets, then (A∩B)∪(A∩B^' )=A

A: To prove : A∩B∪A∩B'=A   Let x∈A∩B∪A∩B' ⇒x∈A∩B or x∈A∩B' ⇒x∈A and x∈Bor x∈A and x∈B' In either of the…

Q: Let A = {raisin, prune, lemon, pear}, B = {lime, cantaloupe, orange}, and C = {lemon, berry, peach,…

A: Given sets are A=raisin, prune, lemon, pearB=lime, cantaloupe, orangeC=lemon, berry, peach,…

Q: If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10…

A:

Q: If A, B, and C are sets such that A ∩ B ≠ Ø and B ∩ C ≠ Ø, then A ∩ C ≠ Ø

A:

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

A:

Q: If A and B are any two sets and AUB = . A n B, then

A:

Q: If A and B are sets and A is a subset of B, then A and B cannot be disjoint.

A:

Q: Prove by contradiction, for any sets A and B , if A CA- B, then An B = Ø

A: We want to prove if  A ⊂ A - B, then A ∩ B = ∅

Q: Show that if A and B are sets with A ⊆ B, then a) A ∪ B = B. b) A ∩ B = A.

A:

Q: If A and B are any two sets and A U B = A ∩ B, then a. A= Ø b. B= Ø c. A=B d. None of these

A: topic - sets option C.   A=B

Q: Let A, B and C be any three sets. Then Ax (BUC)=

A: Given that A, B and C are three sets. We need to find A×{B ∪ C}.

Q: Can you conclude that A = B if A, B, and C are sets such thata) A ∪ C = B ∪ C? b) A ∩ C = B ∩ C?c) A…

A: According to the given information, it is required to conclude that A = B if A,B,C are sets such…

Q: If A is a countable set and B is a subset of A then

A: If A is a countable set and B is a subset of A then B is also a countable set since, every subset of…

Q: If A and B are sets, then P(A) U P(B) = P(A U B). Select one: o True o False

A:

Q: Let A, B, and C be non-empty sets. Then C×B×A=C×A×B if and only if * O None of these O A=C O B=c O…

A: A, B, and C are non empty sets

Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

A:

Q: If n(A ∪ B) = 2n(A), then A and B are equivalent sets.

A: Here use definition of equivalent set

Q: Let A, B, and C are three sets, prove that B×(AnC)=(B× A)^(B×C)

A: Given 3 sets A, B and C. We have to prove that B×A∩C=B×A∩B×C. For this, we have to show that…

Q: Let A, B, and C be non-empty sets. Then AXBXC=A×C×B if and only if * O None of these O A=C O B=C O…

A: B=C

Q: Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|

A:

Q: for any sets A and B (AUB)'=A'nB'

A: We prove that for any sets A and B (AUB)'=A'nB'.

Q: 2. If A, B and C are sets, use a membership table to prove or disprove: A U (B N c) = (A U B) n (A U…

A: First we prove that left hand side is subset of right hand side and then right hand side is subset…

Q: If A, B, C are sets, then a. A\(BUC) = (A\ B)(A\C) b. A\(BnC) = (A\ B)U(A\C)

A: We know that for two sets A and B: A \ B = A∩Bchere Bc is the compliment of set B Distributive Laws:…

Q: If A,B and C are sets, then (AUB)-C=(A-C)U(B–C).

A: