Vhich of the following sets is a null set ? I. X {x | x= 9, 2x = 4 } II. Y {x | x= 2x, x #0 } III. Z= { x | x-8 = 4 } a. I and II only b. I and III only c. I, II and III d. II and III only

Q: Let a₁ = B , a₂ = 圓 and a3 = The set {a₁, a2, a3} will span R³ unless h = 7.5 (If there are no…

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

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Q: Find x for all three 18 32 30 25 15 45 52 18

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Q: 3. In a relation, what do you call the set of x values or the input? a. Piecewise b Range c. Domain…

A: To find the correct option out of given options.

Q: 13. Which of the following sets is a function? А. ((3, 1), (3, 2), (3,5)} B. {(-1,–1), (–2, 7),…

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Q: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: Which of the following sets spans IR³? O ((0,1,-1),(0,0,0) O {(-3,0,2).,(5,1,0),(0,1,-1)} {(0,1,-1)}…

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Q: Let a₁ = -3 h -2 a₂ = -6 1 , and a3 = -8 20 The set {a₁, a2, a3}| will span R³ unless h = 19 (If…

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

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Q: {(r.0):3<rs4 and so<- Neatly sketch the set of points

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Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A: We Know that,  If U is a universal set and A be any subset of U then the complement of A is the set…

Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

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Q: Let A and B be nonempty sets of real numbers. If sup A exists then: O a. sup (A U B) exists if…

A: a)If sup A and sup B exists then          supA∪B=max{sup A,sup B} So supA∪B exists. First option is…

Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

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Q: Which of the following sets are linearly dependent? Select all possible answers. 3 9 { 4 12 |} -3 -…

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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: Describe each of the following sets by listing its elements (you must use set notation like {a, b}):…

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Q: Q1: give another description of the following sets 1. {x: x is an integer, 15< x < 25} 2. all the…

A: 1. The provided set is: {x:x is an integer, 15≤x≤25}. The given form is set builder form, another…

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

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Q: Find the complement of the set given that U = {x | xEI and -3 < x< 5}- {x | x EI and -2 <x < 2}

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Q: Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁,…

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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: C = lq² + 1 | p, q € Z,0 < p < 1 and – 1< qs -1s95}

A: We will solve the problem

Q: 2. a. Give examples of void set, singleton, power set and univeršal set b. If A = {1, 2, 3, 4}, B=…

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Q: Let ai = [250] -10 and a2 = h [4] The set {a1, a2} will span R² unless h = (If there are no values…

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