Determine whether the set S = {1, x², 9 + x²} spans P2. %3D O S spans P2. O s does not

Q: Write union and intersection of the following sets: а. А%3D {1,2, 3, 4};B В%3D {2, 4, 6, 8} b. А%3D…

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Q: Prave that for all sets A and B, (ANB) = A UBC %3D

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Q: consider the following sets: U = {-5,-4,-3, -2,-1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4,…

A: We have to find

Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: The number of r-permutations of a set with n elements= P(n,r).

Q: What is the largest value of r for which N(2.2, r) is a subset of S = ( – 5, 3) U (1.7, 4.6) .

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Q: Use the roster method to write the given set below: 1. {x∈W|x−1<4} p.s Arrange the elements from…

A: We have to write the given sets in roster form. 1. x∈W:x-1&lt;42. Uk=k,-k,2k,k2, where k=1.

Q: Determine whether the set S = {1, x², 3 + x²} spans P2. O S spans P2. O s does not span P2.

A: Consider the given set S. S=1,x2,3+x2 Now, make the matrix from the given set. 103000011

Q: Find n(A) for the following set: b) A = { {0}, {1,2}, {3,4,5} }

A: Consider the given set A = {{0}, {1,2}, {3,4,5}}.

Q: Q.A. Is the nonnepatibe orthaut %(D t. a cohvek set?

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Q: Which of the following sets spans R? R32 O (3,0,-2)} O(3,0-2).(0,0,0)} O(3,0,-2).(5,1,0),(0,-1,1)} O…

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

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Q: a) Determine whether S = {(1,0, -1), (2,1,0), (3,1, –1), (1,1,1)} spans R°.

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Q: List the elements of the following set: S = {x|x ∈ ℤ, x is odd, 16 &lt; x2 ≤ 160}

A: We are given the set, S = {x|x ∈ ℤ, x is odd, 16 &lt; x2 ≤ 160}. Here, we need to list all the…

Q: Let the set S (-2, 0, 5), fx)=,-1and g(x)=3x- x2 .Are the set gof (S) : {3, -4, 14) {399, 0, 143}…

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Q: Determine whether the set S = {1, x², 6 + x²} spans P2. S spans P2. O s does not span P2.

A: P2 is the vector set of all polynomials with real coefficients of degree 2 or less. So 1+x is an…

Q: Which of the following set is consistent? Select one: O i. None of these O ii. (A&~(BVA) } O i. {J>…

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Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following: F ^c…

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Q: Find the number of proper subsets of the set. {x |x is a day of the week} O A. 256 O B. 64 O C. 127…

A: Given x | x is a day ofthe week

Q: Find n(A) for the following set. A= {a, b, c,.., z} n(A) =]

A: Given Data: Set A: {a, b, c,..., z} The set A is consists of English alphabets. English alphabets…

Q: If A is a perfect subset of B and P(a < P(b)), then P(B - A) is equal to Select one: O A. P(b) -…

A: Given that,  A is Perfect subset of B and, P(a &lt; p(b))

Q: Let R = Zg, and let N = R³. Determine whether or not X = {(4, 5, 4), (4, 5, 2), (2, 2, 3)} is a free…

A: It is given that,  R = ℤ8  and  N = R3. We have to determine that whether the set,  X = 4, 5, 4, 4,…

Q: Let X = {a,b,c,d}. List the elements of the set {A :A € P(X) and |A| = 2}.

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Q: Let Ak = [k – 1, k] and Bg = [k, k + 1] Find the set U0 (Ak N AK)

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Q: Data set X consists of the 49 integers from 1 to 49, inclusive, and data set Y consists of the 49…

A: Given X = {1,2,.....,49} Y = {5,6,...,53}  Clearly, Yi = Xi+4 Therefore, median(Y) = median(X) +4  Y…

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Q4: Let A, B, C be fuzzy sets in X, and take the probability Prove that (x)VH 5 (x)#rt 5 (x)³rt An…

A: We need to show that  A∩(BUC)=(A∩B)U(A∩C) To prove this we will just show that  A∩(BUC)⊆ (A∩B)U(A∩C)…

Q: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

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Q: A combination is a selection of r distinct objects from a. Not above b. n objects O C. r objects d.…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: Find the union of each of the following pairs of sets :(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = [ a,…

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Q: The set {1,2,3,4} is open .A O closed .B O neither open nor closed .C O none of above .D O

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Q: Which of the following sets are equal? A = {b, g, j} B= {x, y} C= j, g, b} D= {x|1sx<3 and xEN} J=…

A: Here, A = {b, g, j} B = {x, y} C = {b, g, j} D = {1, 2, 3} J = {0, 2, 4, 6, .....} K = {6, 8, 10,…

Q: Which of the following sets spans R³? None of these O {(0,1,-1)} O {(0,1,-1),(0,0,0)} O…

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Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: Find the complement of the following sets: {x x > 5 and x E W} The set of integers greater than 4 or…

A: Complement set consists all the elements of universal set other than the elements of the set in the…

Q: Use the set - roster notation to indicate the elements in each of the following sets. V = {s ∈ Z| s…

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Q: Q3 ( Let A, B and C be sets. Show that (C – A)n (A – B) = 0, without using membership tables.

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Q: Use set-roster notation to indicate the elements in the following set: S= {n e Z| 15 <n< 20}

A: topic - sets

Q: Display within braces the elements of each of the following sets: a) A = {x € N\x < 10} b) B = {x €…

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost…

Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.

A: Let S = {1, 2, 3, 4}

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: Define the sets A, B, C, and D as follows: A = {-3, 0, 1, 4, 17} B = {-12, -5, 1, 4, 6} C= {x € Z: x…

A: Intersection collect all common elements and in union collect all elements

Q: x E Keals

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Q: 3. Find the number of elements of the set P= {n|n E Z, 1<n< 400, 3 Xn and 7 n and 13 n}.

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Q: Let S = {-5, -1, 0,, 1, V5, 3, 5}. 3. 6 Determine which elements of S satisfy the inequality. 7. 1<…

A: (7) Solve the inequality to determine the solution for x.…

Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: Let A = {{Ø},a} and B= {b}. (a) (5 pts) Write the set P(A) x P(B) by listing its elements between…

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Q: C. Let S = {(x, y) ERX R: y - x = integer} List of four members of [-3]

A: we need to find (x,y) such that  y-x=-3 where x∈R and y ∈R so some of the possible values of the…

Q: 5. Evaluate each of the following sets, where U = {0, 1, 2, 3, ..., 10} A = {0, 1, 2, 3, 4, 5} B =…

A: Since you have asked a question with multiple sub-parts, we will help you with the first three…