Let X = (1, 2, 3, 4, 5, 6) and let T1= (X, 4, {3}, (1,2,3), (2,3,4), {2}} and T2 = {X, 4, (2), (1,2,3), (4,5,6), (2,4,5,6}} * O T1 and T2 are both not topologies on X O T1 and T2 are both topologies on X O T1 is a topology on X and T2 is not a topology on X O T1 is not a topology and T2 is a topology an X

Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B=(2, 4, 6, 8, 10} C = (3, 4, 7,…

A: Here A-B =the set of all those elements which are in A but not in B             i.e A-B={1,5,9} And…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: What is the domain of the following {(3, 4), (9,1), (10, 5), (2,15), (8, 4)}

A: Domain : Domain consist of all input values shown in x axis.

Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

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Q: C_A* UI

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Q: Suppose I had the set {1,2,3} and wanted to make a list of 5 of those elements that contained one…

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Q: Denote by X₁1 the operation "multiplication modulo 11" where a X11 b is the remainder when a × b is…

A: The given set Z11=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. To construct the multiplication modulo table,…

Q: How may elements are in the set [-2, 2] \N?

A:

Q: list all the subsets of  {1,2,∅}   and {{R}} R= real number

A: Number of subsets of a set with n elements is 2^n

Q: Let १ १G,१ी, (३,5) , (3 ), (4,2 ), ( 3 4) 5 %3D and 4. १,०) (2) (৬,), (,০), (3,) 3 %3D which of the…

A: The solution of the problem is given in the next step.

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Let A={1,2,3,4},B={-1,0,1,3} , then B\A is: .a {-1,0,1,2,3,4} .b {-1,0} .C {1.3}

A: Given- Let A = 1, 2, 3, 4, B = -1, 0, 1, 3 To find- What is B \ A?

Q: Find all subsets of {{a}, {a,b},{4}}.

A: Topic- Subsets of a set We are given a set a,a,b,∅

Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: Part C. Identify the solution to the following equations in Z₁1. Provide a justification or a…

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Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: let u = {1,2,3,4,5,6,7}, {a,b,c,d,e}. If A={1,2,a,e} find n (a^c)

A:

Q: Suppose that A = {Biology,Chemistry,English} and B= {Biology, English, Philosphy, Psychology} Then…

A: A∩Bis the set of elements which are present both in A and in B

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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Q: If A ={2,3,4}, B= {2,5,6} then (B-A)x(ANB) is O {{3,2),(3,5),(3,6)} O {{3,2),(3,3)} O {(5,2).(6,2)}…

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Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

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Q: - Let z = = [11, 12, 13]T 5x1 +4x2+3x3 = 9 211+12-4x3 = 8

A: Given: Let we have to solve the given system

Q: Find the number of arrangements of the digits {0,1,2,3,4,5,6,7,8,9} such that the first digit is…

A: We need to find the total number of arrangements of digits 0,1,2,3,4,5,6,7,8,9 such that the first…