Let A, B and C be the subsets of U. Then prove that (A UB) -C = (A – C)U(B – C) by using laws of sets |

Q: Help with this please

A: The objective of this question is to prove that for any two bounded nonempty subsets of real…

Q: 11. For sets A and B, define AAB (A\B) U (B\A). Prove that A B if and only if AAB=0. - (a) Let A and…

A:

Q: Prove or disprove the following. Let A, B, C be sets.   ( A ⊆ B U C ) ⟶  ( A ⊆ B or A ⊆ C )…

A: Consider A,B and C be sets  we have to prove or disprove that ( A ⊆ B U C ) ⟶  ( A ⊆ B or A ⊆ C )…

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 ‘E’ & ‘F’ are any two non-empty sets and there order are as follows;…

A: given let ‘E’ & ‘F’ are any two non-empty sets and there order are as follows;…

Q: Prove: For all sets A, B and C, (AUB) - (CA) = AU (B-C).

A:

Q: Let A, B, and C be sets (a) Prove that ACB iff A – B = Ø. (b) Prove that if A C BUCand ANB = Ø, then…

A:

Q: In cartesian product, prove that (A-B)XC=(AXC)-(BXC) A,B,C are sets

A:

Q: Let A and B be sets. Prove that A c B if and only if A NB = A.

A:

Q: a) Show that the set S = {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans R³. b) Determine whether the set…

A: See the attachment.

Q: Prove that B = (0,1) is NOT a compact set.

A: To prove that (0,1) is not a compact set.

Q: For the universal set U and the given sets U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5}, B = {1,2},C =…

A:

Q: Let there be set of a, b, c. Prove A×(B∩C) = (A∩B)×(B∩C)

A:

Q: Exercise 2. Let A, B C R. (a) Prove that AUB = AUB. (b) Prove that ANBCAN B. (c) Find sets A and B…

A: Solution:-

Q: Discrete Math problem: Prove that if X∩Y = X∩Z and X∪Y = X∪Z, then Y=Z for all sets X,Y, and Z.

A:

Q: (a) Let A, B be sets. Prove that A\(An B) = A\B. You may assume all sets in the question are…

A:

Q: Find J(A, B) and dJ (A, B) for these pairs of sets. a) A = {1, 3, 5}, B = {2, 4, 6} b) A = {1, 2, 3,…

A:

Q: For all sets A, B, and C, prove that (AUB) - (CA) = AU (B-C) Please indicate the reason for each of…

A:

Q: If P(A₁) > 0 and if A2, A3, A4,... are mutually disjoint sets, show that P(A2 U A3 U ... |A₁) =…

A:

Q: Consider the following statements about the powersets of sets A and B. Which of them are true? 1.…

A: The true statements are:2456Explanation:

Q: Let A and B be any sets. Show that: (a) A – B, B - A, and An B are disjoint with each other. (b) A =…

A:

Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

A: Since you have posted a question with multiple sub ports, we will provide the solution only to the…

Q: 2. Find a set A such that A = {2, JA]}.

A:

Q: (ANB) –C= (A –C)NB.

A:

Q: Prove: For all sets A, B and C, An (B-C) = (ANB) - (ANC).

A:

Q: Find two sets A and B such that A E B and AB.

A: A=ϕ. And B={ϕ}Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Show that the interval [0,1] is a closed set in R

A:

Q: Write down four distinct elements of the set {z ∈ C : z − z ̄ = 2i}.

A: The given set is z∈ℂ:z-z=2i We have to find the four distinct element of the given set.

Q: 1. Prove DeMorgan's Laws. That is, let X be a set and let A and B be subsets of X. Show that (a) X –…

A:

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: Let A and B be subsets of U, n(U)=90, n(A’∩B’)=20, and n(A–B)=n(B–A)=30. Determinen(A∩B).

A: It is given that A and B be subsets of U.

Q: Prove: bd (s) = 5 TR-S bd (s) is a closed set

A:

Q: For any sets A and B, show thatP ( A ∩ B ) = P ( A ) ∩ P ( B ).

A: