Is this statement is right Let U = { x∈ℕ | 17 > 3x-1 }, A = {1,2}, B = {3,4}. Then the set (Aᶜ × B ) ⋃ (Bᶜ × A) has 12 elements.

Q: Show that the statement If n E N and a E Z*, then [Q(Va): = n is false.

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Q: Determine which of the following statements are true, and which are false. Explain! (a) {a} ⊆ {a, b,…

A: Given that: (a)  a⊆{a, b, c}(b)  {a}⊆{{a,b},c}(c){a}⊆P{{a}, b, c}

Q: Prove that ∀y ∈ Σ*, P(y) is true, where P(y) is the statement "∀y ∈ Σ*, r(xy) = r(y)r(x)".

A: Given : P(y) is the statement "∀y∈∑*, rxy=ry rx" To prove : ∀y∈∑* , P(y) is true Pre-requisite : The…

Q: Let X=(1,0, – 1, -/2)'. Then, ||X||=v2 Select one: True False

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Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? a.) p ^ (q…

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Q: Determine whether the statement is true or false " If u ∙ v = u ∙ w and u ≠ 0, then v = w", If it is…

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Q: a. With no restrictions b. If each couple is to sit together? c. If all the men sit together to the…

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Q: Let X-Bin(5,0.5), then P(x >3|x >2) is

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Q: Let FECT-2,21], foro. Prave that Max -2

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Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

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Q: Suppose p is true, q is true, r is false, s is talse. Find the (s V p) ^ (~r V ~s) True False

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Q: Select all that apply: Which of the following are equivalent to the statement "Nobody defeated…

A: Using the given symbol to select correct option equivalent to the statement ''Nobody defeated…

Q: If →               →       v = (x, y), || v || = 4, and →           w = (−2x, −2y), then →…

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Q: IH div determine it he inlera1 13 divesen or Conversent 1) If diversent ; sat so ör exPlain 2) It…

A: given thatI=∫353(x-3)2dxI=limt→3 ∫t53(x-3)2dx

Q: The number of non-empty subsets of B is |{S:SC A, S = 3 and Sn B = 0}| = max {|S|: SC AUB, SNA| is…

A: Given that A and B are finite sets satisfying A=6, B=7, A∩B=2. Since, B=7. So, total number of…

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

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Q: (a) all pistols are to be from the same manufacturer (order does not matter here)? (b) the pistols…

A: A firearm salesman has to display 2 pistols from an inventory of 7 Glock’s, 8 Sig Sauer’s and 5…

Q: Determine whether these statements are true or false. a) ∅ ∈ {∅} b) ∅ ∈ {∅, {∅}} c) {∅} ∈ {∅} d) {∅}…

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Q: When does vyvxP(x, y) be false? A P(x, y) is false for every pair x, y. B There is an x such that…

A: Given that                       ∀y∀xP(x,y) be false.

Q: Q2: Suppose A = (0,2,4,6,8), B (1,3,5,7) and C (2,8,4). Find 1) AUB %3D 2) Ance 3) BnC 4) C\B

A: Given, A={0,2,4,6,8}, B={1,3,5,7} and C={2,8,4} To find, 1) A∪B 2) A∩Cc 3) B∪C 4) C\B

Q: Given the following sets, what is A U B?  U={x│0≤x≤20}         A={2x│0≤x≤5}…

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Q: Which of the following is equivalent to the statement "Somebody who didn't win a medal defeated one…

A: Introduction: A predicate is a sentence with a finite number of variables that becomes a statement…

Q: Select all of the true statements: Vn e N, 3r e R, n<r * 3n e N, Vr E R, n <r Vn €N, Vr E R,n <r En…

A: We have to find out all the true statements from the following given statements ∀ is " For all"…

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: Negate the following statements: (∃y∈Q) (y+4=8) (∃z∈B) (3z≥0) ∀x∃y,M(2x+1,y) ∃x∃y,A(x,5y)…

A: Since you have posted multiple sub parts questions but according to guidelines, we will solve first…

Q: Let X-Bin(5,0.5), then P(X >3|X >2) is

A: Given information: Given that the random variable X follows binomial distribution with parameters n…

Q: use determîne the ratio test to if it conver g en ce is dikergence to 3.

A: We have to find

Q: Suppose, X|0~ Binom(10,0) and o~U (0, 0.25), then E(Y)is equals to, a) b) 2.15 1.25 5.02 10.06

A: Answer: b) 1.25.

Q: Negate the following statements: 1. ∃x∃y,A(x,5y) 2. ∀x∀y∀z,N(-x,y,z)≥6

A: While negating a statement we have to be aware in the quantifiers and main condition We have to…

Q: If X= { a, b, c, d } and Y = { f, b, d, g},      find. (i) X – Y           (ii) Y – X          (iii)…

A: The given sets are

Q: Find propositions P(x, y) and Q(x, y) that demonstrate tha (Vxay, P(x, y)) A ay, Q(x,y)) is…

A: Let Statement 1: ∀x∃y, Px,y∧∀x∃y, Qx,yStatement 2: ∀x∃y, Px,y∧Qx,y

Q: Q2: Suppose A = (0,2,4,6,8), B = (1,3,5,7) and C= (2,8,4). Find 1) AUB %3D 2) Ance 3) Bnc 4) C\B

A: Given A = 0 , 2 , 4 , 6 , 8B = {1 , 3 , 5 , 7}C = {2 , 8 , 4} then (1) A∪B = {x : x∈A or x∈B}= {0 ,…

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: 2 Determine if the following statement is true or false. Motivate your answer. If Re(:) > Re(w) and…

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Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

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Q: paragraph proof: Given:∠WXZ ≅ ∠YXZ,∠XZW ≅ ∠XZY, WX ≅ YX, and WZ ≅ YZ

A: Introduction: Triangle congruence: If all three corresponding sides and all three corresponding…

Q: If f(x, y, z)=√x²y² z², then fxyz (x, y, z) = 2xyz √x² 1² z² Select one: True O False

A: Given: if fx,y,z=x2y2z2 then fxyzx,y,z=2xyzx2y2z2 We have to state if the given statement is true or…

Q: Use rules of inference to show that if Vx(P(x) (Q(x) A S(x))) and x(P(x) ^ R(x)) are true, then…

A: In the given question we have to prove that the statement R(x)∧S(x) is true when (P(x)∧R(x)) is true…

Q: а. 2 ихх — иху — 4uy a2 u az u b. əx² azu ди +4 +34 + u = 0 дхду a?u = 2", k < 0 ax ду ди C. k ax?…

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Q: Determine whether the statement"If v = ai + bj = 0, then a = −b." is true or false. If it is false,…

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Q: axayP(x, y) is true when P(x, y) is false for every pair x, y. A True В False

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Q: In (R, Tst), if b – a > 2, then U-1[a +, b – is not closed. Select one: True False

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Q: Let z, w e C. Show that |2 + w? + |z – w? = 2(|2|2 + |w?). %3D

A: We will show the given result.

Q: in how many ways can the numbers 1,2,3,4,5,6,7 be arranged so that  a. 1 and 7 are adjacent? b. 1…

A: a) If 1 and 7 are adjacent then we consider 1,7 as one number.  It can be 17 or 71. 2 ways. When 1,7…

Q: Is the following statement true or false? Justify answer. If x, y∈(X, d) and d(x, y)>0, then x ≠ y.

A: To find- Is the following statement true or false? Justify answer. If x, y ∈ X, d and dx, y &gt; 0,…

Q: Determine OK. (where the intersection is taken over all nEN) if K, =[ -2+

A: Kn=[-2+1n,1en)

Q: When does vxayP(x, y) be true? A) P(x, y) is true for every pair x, y. В For every x there is a y…

A: Given that, ∀x∃y P(x,y)