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

Q: If A and B are any two sets, then A ∩ (A ∪ B) is equal to a. A b. B' c. A' d. B​

A: It is given that A and B are any two sets. It is required to obtain the value of A∩A∪B.

Q: Consider the sets A = {1,2, 4, 7} and B = {3,4, 7, 10}. C = AU B D= AnB %3D E = A \ B %3D F = AC in…

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Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: Let X={a,b,c} and Y=∅. What is X∪Y?

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Q: Find the complement of the set given thatU = {x | x E I and -3 <x 7}. %3D {-3, -1, 3, 6, 7}

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Q: Let p and q be points in R³, then p-q ≤||p||||||- = Hint: (a1, a2, a3) - (b₁,b2, b3) = a₁b₁ + a2b₂+…

A: Let p=p1,p2,p3 and q=q1,q2,q3 Angle between p and q is θ Dot product of p and q…

Q: For sets A and B, define the symmetric difference of A andB by ΑΔΒ (Α-Β) υ (B-). %3D Define A =…

A: We have to find the number of elements in the required set.

Q: Let C = {0,2, –1, 100, 12} and let D = {-1,2, 14}. %3D a) |C u D| = b) |C n D| = c) |C – D| = d) |D…

A: Given information

Q: sets A, B, and C that satisfy the given conditions. a. ANB=Ø, ACC, CNB ±Ø b. АС В, СС В, АПС+0 с.…

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Q: B. Use Set Notation to Describe the Figure U 1. A B 2. A 5. U A U U 3. 4.

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Q: Let A, BC X. Is Bd(A) C Bd(B)?

A: We want to check for A, B ⊂ X Is Bd(A) ⊂ Bd(B) true or false.

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: If P(x) = 15' X = 1, 2, 3, 4, 5 = 0, elsewhere %3D Find P(X = 1 or 2)

A: Answer: From the given data,

Q: If S = (a,b,c) with P(a) = 6P(b) = 2P(c), find P(c). %3D %3D

A: Observe the following. Pa+Pb+Pc=1Pa=6Pb=2PcPa=2Pc6Pb=2PcPb=26Pc=13Pc

Q: If P(A and B) P(A) . P(B) then A and E %3D are

A: The probability of A and B means that the probability of two events at the same time

Q: Shade the portion of the diagram that represents the given set. AU (B n C' ) B B) C C) D) none of…

A: We know that in Venn diagram A∪B∩C' will be complete A and part of B which not include C So, option…

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: Which of the following sets are equal? A = {0, 1, 2} B = {xE R| –1<x<3} C = {x E R|-1 <x< 3} D = {x€…

A: first we convert the given roster notation to set or interval notation then compare. ℝ=(-∞,…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue, black}. Find the number…

A: Number of elements in set C×C×C is: nC×C×C=64.

Q: If P(A) + P(B) = 0.9, P(A n B) = P(B nA) = 0.25 ,Then %3D %3D %3D P(AN B) = %3D

A: P(A∩B) = 0.2

Q: Let A= {a,b,c) and let B = {1,2,3,4}. Determine n(A x B). n(Ax B) =

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Q: Let A:= {2} and B:= {2,3,5}. Give the Cartesian product of sets A and B, furthermore the power set P…

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Q: Let A and B bet sets. Letf: Ax B A be defined by f(a, b) = a %3D and let g : A x B B be defined by…

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Q: 2. A- (x|x2-2) 8- (x|x< 6) (a) A nc (b) A nB

A: Sets

Q: Let A = {a, b, c} , B = {1, 2} ,C = {c, d}. Find AUC, A x B, C x B, (AUC) × B, (A × B) U (C × B).

A: A U B = Set of all elements in A and B A x B = Cartesian product of sets

Q: Let A and B be sets then A + B if, and only if A ¢ B or B ¢ A. 8. For sets A, B, and C, A U (B N C)…

A: True or False :  (7)  Let A and B be sets , then  A≠B if and only if  A ⊄ B or B ⊄A. (8) For sets A,…

Q: Let A = If A-1 = A, find x + y. 5

A: Here, it is given that  A=x15-25y and A=A-1. We need to find x+y.

Q: 4. The symmetric difference of two sets A and B is the set AAB (AUB)- (AnB) If A = (1,2, 3) and B =…

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Q: Let A %3D {1,2,3, 4}, В %3D {3,4, 5},С %3D {а, b, с}. Find A n B, A x С, В х С, (АnВ) х ( (Ах С)n (В…

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Q: Suppose that A and B are two sets such that n[A] = 5, n[B] = 9, and n[AU B] = 13. If n[U] = 19, then…

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Q: If A is the subset of B, then simplify the following possible : a. A' U B' b. (A n B) ' c. (A U B)'…

A: (a) given, A ⊆ B, so, B' ⊆ A'  Hence, A'∪B' = A'

Q: Let A = {x, y, z} and B = {w, x, y}. %3D a. List the elements of (A). b. Find p(A) n p(B).

A: a. pA=ϕ,x,y,z,x,y,y,z,x,z,x,y,z

Q: 5. X = {a, b, c}. Give each of the following sets in roster notation. (a) {A: A E P(X) and |A| > 2}…

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Q: Sets A and B are defined by A = {3, 5, 7, 8} and B = {x, y, z}. Answer by true false %3D а. 3 е А b.…

A: Sets: - A set could be a well-defined assortment of things in arithmetic. A upper-case letter is…

Q: Which elements are in the set X = {u E Z |u s 4 or u 2 1}? Select one: a. {1,4} b. {2, 3} c. {1, 2,…

A: Given below the detailed solution

Q: Shade the regions representing the set. A'UB B

A: Given data: The first set given is  A. The second set given is B.     The expression for A' is,…

Q: Assume that P ( A ) = P ( B ). Show that A = B

A: If possible let A≠B and there is an element x ∈ A and x ∉ B Then {x} ∈ P(A) , but {x} ∉ P(B)

Q: Let A and B bet sets. Let f : Ax B Abe defined by f(a, b) = a %3D and let g : A x B B be defined by…

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Q: Let X=R and B={] a, b] /a, b belong to R, a

A: Given set is closopen (close and open) in R.

Q: Find the Cartesian product of the following sets: Let A = {a, b, c, d}, B = {1, 2, 3}, and C = {5,…

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Q: Let f(a, b) = (a + b+2) + (2a + 4b + 6)x + (a +b+c)x² and set F = {f(a, b) : a, b € R}. What is the…

A: let  fa,b=a+b+2+2a+4b+6x+a+b+cx2 and set F=fa,b:a,b∈ℝ claim- to find the value of c if f1,0+f0,1∈F

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: Let A and B, be the sets defined by: A = {x € Z / 0< xr| < 2} B = {x € Z | x² divides 36} C = С 3D…

A: We solve following given problems

Q: Refer to the Venn Diagram shown below. How do you represent the shaded region using set operations?…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Let A and B be two sets. (a) Show that (A°n B°)° = AU B and (AºU Bc)C = AN B. %3|

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Q: Shade the regions representing the set. 15) (A n B) u (A u B)' (8 B A) B) A B D) B

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Q: Let A = {James, Dave, Cliff, Lars} and B {James, Kirk, Jason, Lars}. What is %3D n(P(A n B))

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Q: Find all values of a, b, and c for which A is symmetric,

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