Give an example of sets A and B for which |A U B| = |A|+|B|.

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 a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

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Q: Select the set that is equivalent to (Cn B) UA. (Cn B)UA (CUB) UA (CnB) nA (CUB) NA

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Q: Use the laws of the Algebra of Sets to Simplify each of the following: a. (P V Q) ^~ P b. PV (PAQ)…

A: The important laws of algebra used for simplifying the expressions are as follows. Distributive…

Q: -4 A = -3 6. -8 b3 5.

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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: Prove or disprove: For all sets A, B, we must have 24A2(AAB) = 2B.

A: Given, 2A∆2A∆B

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Assume that A, B, C and D are sets. Verify that (A x B) U (C x D) ≤ (AUC) x (BUD).

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Q: Give an example of four sets A, B, C and D such that (AUC) x (BUD) ≤ (A x B) U (C x D).

A: The set A is a subset of B if every element of A is in B

Q: Brenton's weekly pay, P(h), in dollars, is a function of the number of hours he works, h. He gets…

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Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: How do i approach the following question?  Let A and B be sets. Prove that A ∪ B = A ∩ B if and…

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Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) - - O…

A: Given: Two sets A and B. We have to write the symmetric difference of A and B.

Q: 1 -2 A = - 4 4 2 ve a solution. - 0 and b = 0 2 b₁ b₂ b3 Sho

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Q: Given A={-4,0,11}, which elements of set are less than -1?

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Q: Let a = (5,-2, 9). Find ||10||

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Q: Differentiate the sets (0) and 0.

A: We need to differentiate between the sets φ and φ. Note that φ is a set containing and element which…

Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

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Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

Q: Let A = {-9, -7, -6, -4, -3, 1, 3, 4, 8, 10} and B = {-7, -6, -4, 1, 4, 8, 10}. How many sets of C…

A: Given that C has a property thatfrom the second condition we can conclude that all the elements of B…