Let A and B be distinct elements in T. Show that An BET. Case 1: A and B = R AnB =Øn R=Ø E T by a. Case 2: A = Ø and B = (-∞,a) Case 3: A =R and B = = (-∞,a) Case 4: A = (-∞,a) and B = (-∞,b) where a,b € R. WLOG, a > b.

Q: Compute each of the following. b. (3)* d. (-3). f. (1)** a. (- 10) - (" 10)° C. 50 147 e. g. 4+3 5-2…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: You are given and Find the value of S₁=1+q+q²+...+ 1+ ( 9 + ¹) + (ª +1 = "Y

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Q: Ex: Let X₂ [1,2,3,4,5]. I. [0,X, [1], 82.3, 81.23], Y. [3,4,5,6,73 andl T₁: [0, X, [4], [4,633 if A:…

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Q: 1. Given that m= -3, n = 2, p = -1 Find: m (p – n)2 _____3p + m Select one: a. 4½ b. 27/8 c.…

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Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

A: This question is related to vectors, we will solve it using given information.

Q: Q. One of the following statements is wrong: a.-1,0 = 1.100/ 6.(2,3=| 2.5) C. (1. 2) = R d.(2,3) =…

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Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

A: We want to prove the set identity A-(B∩C)=(A-B)∪(A-C) using membership table . Here we will use…

Q: Let A= {5, 6, 7, 8}, Let R: A-> A and S: A-> A. Let R= {(5, 6) (6, 8) (7, 6) (8, 7)} and S= {(5, 5)…

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Q: Compute A² and A³. Make a prediction for A5 and Aª: 1 b 4 = [] and 4= [²2] A A [33].

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Q: 3. Find the inverse D- (1-2, 4), (-1, 1), (0, 01. (1, 1), (2, 4)) -0.00-11.01. 11 (4, -21. (4,2)…

A: We know that fa=b ⇔ f-1b=a

Q: y = nedir? (a) (b) (c) (d) (e) In(x² - 4) tan-¹ (²-1) fonksiyonunun tanım kümesi (-∞, -2) U (2, 3) U…

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Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: 3 Shade the set (R nc)UT. =(RAC) UT and C-(RUT)

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Q: Suppose you observe the following occurrence. Answer which of the four properties -A, ~B, ~C, -D are…

A: Given the following occurrences as                                       A    B    C    D…

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

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Q: 10. Let a = (1,-1,2), b = (2,0,−1), and = (3,-2,0). Evaluate or explain why the expression is…

A: The vectors:

Q: Prove that gcd(a + b, a − b) = ged(2a, a − b) = ged(a + b, 2b).

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Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: 4. If x # -4, which of the following represents 2x² + 14x + 24 in simplified form? 2x + 8

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Q: Show that the operation * on Q – {1}, defined by a * b = a + b – ab for all a, beQ- {1} satisfies…

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Q: 6. If -2 determine all values of x and y for which A= A.

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Q: Find u x v, v x u, and v x v.

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Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

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Q: a. 2 |x – 4|| х-1 b. x? + 2х — 12 1 х+1

A: a.  (1, 2] and [3, (5+√17)/2]         b.  (-1-√13 , -1+√13)

Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

A:

Q: Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint

A: Note: " Since you have posted multiple questions. we will solve the first question for you. To get…

Q: is possible equation of classes:  Select one or more than one:  a.

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Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

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: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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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: Q. One of the following statements is wrong: a. [-1,0] = [1,100] b.(2,3] = [-2,5) с. (1,2) %3DR…

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Q: Jadara University/ CS Department 02/08/2021 Discrete Matl Dr. Mutaz Abdel Wahed Exercise/ Sets…

A: 1.a) it is true, because, 2 belongs to A. b) it is false, because, 3 doesn't belong to A c) it is…

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

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Q: 1Uedxix EN, n<15},A = Sreix is even'} Bz{M:n is the multipk of 37 , then a AOB Chow the reladion of…

A: Given: Universal set U=x:x∈ℕ, x&lt;15 and subset A=x:x is even, B=x: x is a multiple of 3.