If Si and S2 are convex sets, is their union S1 U S2 a convex set. Explain your answer.

Q: Use graph to find set. (- ∞, 6) ∪ [2, 9)

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Q: A = {{7, 4, 1}, 0, 0, {6}} |A| = Ex: 5

A: The given set A=7, 4, 1, ϕ, 0, 6. We have to find the value of A.

Q: You live on a beautiful, sunny island, with great beaches and green mountains and fruit growing on…

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Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

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: Venn Diagrams

A: Consider the following operations on sets, Union of set B and set C It is defined as the set of…

Q: Graph the set. [-4, 6] ⋂ [0, 8)

A: Given : The Set A = -4, 6 The Set B = [ 0, 8 ) We have to graph the set -4, 6∩[ 0, 8 )

Q: 2. Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12), set B = {3, 6, 9, 12, 15}…

A: It is given that  A = {2,4,6,8,10,12}, B = {3,6,9,12,15}, C = {1,4,7,10,13,16} NOTE : Since you have…

Q: Q17D. Define the sets A, B, C, and D as shown. Find (A ∩ C) ∪ (B ∩ D).

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Q: Use the given sets to find A UB. A = {2, 3, 4, 5, 6, 7, 8, 9} B = {5, 7,9, 11, 13, 15}

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Q: State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3, 4, 5…

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Q: Use any method you choose to show that An (B UC) = A U B n C, when A, B, and C are sets.

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Q: Z=36-4x²-4 a.) Draw a Con tour map nSing 2=0,1,2, 3, 4,5,and 4.

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Q: Q7. Check whether the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of a right…

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

A: The given universal set .To find the complement of the set .

Q: A W C р 3 a 6.0 g h f B

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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 set of ordered pair represent a one to one correspondence? A) {(2,3)} B) {(2,…

A: we have to find that which ordered pair represents a one-one correspondence. one-one correspondence-…

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

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Q: 7.) Mario's pet fish jumps 6 inches up into the air and then travels 13 inches down underwater. 8.…

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Q: Which set has a domain of (2, 3) and a range of (5, 8}? O (8, 3). (8, 2). (5, 2)} O (5. 8). (2, 3).…

A: We require to find  That domain include {2,3} Codomain (range) include { 5,8}

Q: 4. How high is the ramp 17ft hft 15 ft O 5 O 8 O 10 O 21

A: We have to find the height of ramp for the given figure: We know that if we have right angle…

Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find different signals

Q: 9. Let C = {2,4, 6, 8, 10}, D = {6, 8, 10, 12}. (a) Find the set CUD. (b) Find the set Cn D. (c)…

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Q: If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.

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Q: 1. 3. A D 2. 4. U A 5. U A

A: 1. Here shaded region is portion of A which is not in B. So the set notation is A∩Bc 2. Here the…

Q: The letters A and B are topologically equivalent. True False

A: To determine the letters A and B are topologically equivalent or not

Q: 1. Construct the intersection graph for the collection of sets: A₁ = 0,2,4,6,8 A₂ = 0,1,2,3,4…

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Q: Is a convex quadrilateral a convex set?

A: It is given that Convex quadrilateral and convex set

Q: 4. Write each of the following sets are in the set builder form ? (i) A = {2, 4, 6, 8, 10} (ii) B =…

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

Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) O b.…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.