Let A= {x: x is a letter in the word FOLLOW}, B= {y: y is a letter in the word WOLF}. Which of the following is true? O Set A and B are joint sets O Set A and B are both empty. O Set A and B are equal. Set A and B are both a unit set.

Q: For sets A and B, prove that P(A∩B) = P(A)∩P(B).

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Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

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Q: R= {(a,b)|a E T,b e T, a has higher GPA than b}. Why?

A: No, it is not a poset.  Since we know that a relation is a poset if the relation is…

Q: Which of the following statements are set identities? That is, which of the statements are true for…

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Q: Let S be the set S={(x+y) l 2x+3y>=(greater than or equal to) 12} What would be Sc  (S complement)…

A: The given set is: S=x,y∈ℝ2 | 2x+3y ≥12 Cleary S⊂ℝ2.

Q: If A = {x: x |B| D. None of these {x: x 2 + 11x + 30 = 0,x E N}, then C is a/an? A. Empty set B.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Indicate whether the following sets are equal. A={x, j, a, w}, D={x, a, b, y}

A: The given two sets are, A=x,j,a,w and D=x,a,b,y By definition, The two sets A and B are equal sets…

Q: 4. Prove or disprove For all sets A. B and C. if A OC-0,then A. B and Care your answers as ar AUD,…

A: The given statement is FALSE.

Q: Let A, B be any sets with ACB. Then* |P(B × B)| > |P(Ā × B)| O None of these the above is true |P(A…

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Q: Which of the following statements is true about the three sets A.B.C defined below: A=[ – 4,4]…

A: The given three sets are: A=[-4,4]B=[-6,2]C=[-2,6] i.e. the set A consists of the elements…

Q: Which of the following statements on sets is FALSE? O a. AN A° = Ø O b. Equivalent sets are equal. O…

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Q: Which of the following accurately shows the Associative Law on Sets? * (AUB) UC=AU (BNC) An (BUC) =…

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Q: (а) An B 3 o (Ъ) в СА (с) АДВ — AU B.

A: The detailed solution is as follows below:

Q: Let U = {x | x is a letter in the word %3D GUADALARAJA}, where this is the universe set. Also, let M…

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

A: Given:- If A and B are sets; Ac and Bc denote the complements of the sets A and B, then the set (A -…

Q: For any sets A, B, and C; the distributive law states AU (B n C); that is a. (A U B) n (A U C) c. (A…

A: DeMogran's distributive law

Q: Given: sets T and V are reflexive. True/False: TU V is reflexive O True O False

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Q: Which of the following sets is open in (R, Tu)? OR-(Q-Z) OR-)"2n² :ne N} [2,5) O 12,5) U (1, 7)…

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Q: Determine if the following statements are true or false. Here A represents any set. (a) oCA (b) A'CA…

A: Here let us consider A to be any set which consists some elements U is a universal set  A' is a…

Q: Let A, B,C be three sets. Show that if BC A and C C A \ B, then BC A \ C.

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Q: Let U be the universal set with disjoint subsets A and​ B, where n(U) = 37​, n(A) = 8​, and n(B) =…

A: first we will find the value of n(A'∩B') we know according to De Morgan's law  A'∩B' =…

Q: Let U= set of all natural numbers A = {r:x = 7y, y E N}, B = {r:x = 4k, k E N}, and C = {r:x = 3n +…

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Q: Which of the following sets is closed in (R, Tu)? O a. { ne N}U{2} 72 2n O b. Q-N c. O c. [2,5) U…

A: Determine the meaning of ℝ, τu. Now, go with each option and check which is correct.

Q: Which of the following statements on sets is FALSE? O a. AN AC = Ø O b. Equivalent sets are equal. O…

A:

Q: Let A, B, and C are three sets, prove that Bx(AUC)=(B× A)U(B×C)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Let A, B1, B2 and C be sets and let B AC BỊ and C C B2. Bị × B2. Consider the statement, "If A x C C…

A:

Q: Determine whether or not the following is true: for all sets A, B and C, (AUB) (C\A) = AU (B\C); If…

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Q: 사 Use the Venn diagram shown to the right to determine whether the given sets are equal for all sets…

A: Given below clear explanation

Q: Given: sets R and S are reflexive. True/False: Ros is reflexive O True O False

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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: Let A be an uncountable set and let B be the set of real numbers that divides A into two uncountable…

A:

Q: the set A = {=: (ne Q)^(n > 0)}; 3(0 )v(d au):-

A: given set A=1n:n∈ℚ∧n>0 Determine whether the following set is well-ordered:

Q: Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered…

A: Given that: n(A)=p, and n(B)=q

Q: Which of the following sets is open in (IR, Tu)? OR-(Q-Z) (1)"2n? nin?:nE N} R - [2,5) O 12, 5) U…

A:

Q: 3.* Show that (A \ B) \ C = A \ (BUC). Is (A \ B)\C = A\ (B\C)? 4.* If A and B are sets, we define…

A: Set equality proof

Q: Given: sets R and S are transitive. True/False: RNSis transitive O True O False

A:

Q: Let U = (−∞,∞) be the universal set and M = [−5, 6) and W = [−3, 8]. In interval notation, determine…

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Q: Let A, B, C be three sets. Show that if B C A and C C A \ B, then BC A \C.

A: Given: Let A, B, C be three sets. To show: If B⊆A and C⊆A \ B, then B⊆A \ C.

Q: For any two sets A and B, if A=B,then A=B صواب ihi

A: Given a statement

Q: Draw two Venn diagrams to determine whether the following expression is equal for all sets A and B.…

A: We will draw Venn diagram to check if the sets equal

Q: 1. For any sets A, B, and C; the distributive law states AU (B nC); that is a. (A U B) n (A UC) b.…

A: Let A, B, and C are three sets

Q: our answer Prove or disprove For all sets A. B and C, ir ABOC-0, then A. B and C are UD. AN, A.A-B.…

A:

Q: Let A, B and C be any sets. Which of the following is equal to (A U C) n (B \ C)? Select one: a. (A…

A: Solution is given below:

Q: we defined the symmetric difference of sets A and B to be A AB = (A U B) – (A n B) = (A – B) U (B –…

A: The proof of associative law for symmetric difference is given as follows

Q: Let A, B, and C be finite sets. One of the following statements is false, which one? A. Αn(BU ) -…

A: Given set A, B and C(A). A∩(B∪C¯)Using distributive law…

Q: 3. Consider three finite sets A, B and C. Show that: (a) (b) (c) (AB) x C = (A ×C) \ (B × C ); (AUB)…

A:

Q: Let A and B be sets. Then B - (B – A) AN B is equal to the above

A: Let A and B be sets  Let x∈B-B-A ⇔x∈B and x∉B-A ⇔x∈B∧x∉B∨x∈A⇔x∈B∧x∉B∨x∈B∧x∈A⇔x∈B∧x∈A⇔x∈A∩B ( since…

Q: Let A and B be sets. Then B - (B - A) ANB is equal to the above Ā NB is equal to the above

A: Here ,we are given that A and B are two sets. We need to find  B-(B-A) : Now, Here ( B-A) represents…

Q: Let U = (−∞, ∞) be the universal set and M = (−6, 5] and W = (−3, 9]. In interval notation,…

A: The open interval a, b indicates that the elements a, b are not part of the interval. The closed…