Let U = {1,4,5,8,9,10,13,15,16}, X = {4,8,10,15}, Y = {4,5,8,9,10}, and Z = {1,4,5,15,16}. List the members of the given set, using set braces.  (X⋂Y')U(Z'⋂Y')

Q: Let U={0,1,2,3,4,5,6,7,8} and E= {0,2,4,6,8} and P={2,3,5,7}, then P (upside down U) E= A. { } B.…

A: B. {2}

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find A′.

A:

Q: Let A=(1,2,3,4), B-(00,01,10,11), C=(x.y,z). f-(1,00),(2,01).(3,01).(3,10) (4,11)). f -((1,x),…

A: The question is based on composition of function  f: X→Z and g: Z→Y then gof: X→Yalso  gof(t) =…

Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the…

Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and T= {1,3, 7}. Find T'. O T = {2, 4, 5, 6, 8,9, 10} OT =…

A:

Q: Find the set (AUB)'. U= {1, 2, 3, 4, 5, 6, 7} A= {2, 3, 5, 6} B = {3, 4, 5}

A:

Q: define a set of which both {1,3,4} and {0,3,5} are subsets find such a set with the smallest…

A: We have to find the set with smallest possible number of elements which both {1,3,4} and {0,3,5} are…

Q: Let U = {h, i, j, k, I, m, n, o, p} A = {h, i, j, m} B= {h, k, I, m, o}

A:

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and E = (0, 2, 4, 6, 8} and P = {2, 3, 5, 7}, then ?∩?=

A: Given  U = { 0,1,2,3,4,5,6,7,8} E = { 0,2,4,6,8} P = { 2,3,5,7} So U ∩ E = { 0,2,4,6,8} U  ∩ P = {…

Q: Find the set AUB. U= {1, 2, 3, 4, 5, 6} A = (2, 3, 4, 6} B = (1, 2, 5}

A: Using the definition of union of sets.

Q: How many subsets does the set  F = {4, 5, 6, 7, 8}  have?

A: Given : F = 4, 5, 6, 7, 8

Q: Assume that there are 3 pairs of black socks (çorap), 1 pair of pink socks, and 2 pairs of blue…

A:

Q: Let S = {1, 2, 3, 4, 5, 6, 7, 8},  A = {4, 6, 7},  B = {2, 3, 4, 8},  and  C = {2, 4, 5, 6}.  List…

A: We have to solve given problem:

Q: find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10}

A:

Q: Let A={1,2,3,4}, B={00,01,10,11}, C={x,y,z}. f1 = {(1,00),(2,01),(3,01),(3,10) (4,11)}- f2 = {(1,x),…

A:

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: If the universal set contains {1,2,3,...,15), X = {1,3,7,9,11,13), Y = {5,6,7,8,9), and Z = {8, 10,…

A:

Q: Let U={1,2,3,4,5,6,7,8,9,10} be the universal set and A={1,2,3,4,5,6}, B={1,3,5,8,10}. Then P(B-A) *…

A: A=1, 2, 3, 4, 5, 6  &  B=1, 3, 5, 8, 10 Now, B-A=1, 3, 5, 8, 10-1, 2, 3, 4, 5, 6=8, 10

Q: Construct a Venn diagram U={1, 2, 3, 4, 5, 6, 7, 8, 9} X= {1, 2, 7, 8} Y = {1, 4, 6, 7} Z= {2,5, 6,…

A: Given :U={1,2,3,4,5,6,7,8,9}X={1,2,7,8}Y={1,4,6,7}Z={2,5,6,7}

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

A:

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can…

A: Let us assume that: Pi=The point assigned to the ith question.   Given that:  Each question must…

Q: Let S={1,2,3,4,5,6,7,8,9} How many subsets of cardinality 6 have {2,3,5} as a subset?

A:

Q: Let  U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17} A={1,2,3,7,9,11,13,14} B={2,3,6,8,11,12,15,16,17}…

A:

Q: Let A=(1,2,3,4}, B=(00,01,10,11}, C={x,y,z}. f = {(1,00),(2,01),(3,01),(3,10) (4,11)}. f2 = {(1,x),…

A:

Q: Let u = (-7, 1, 5) and 7 = (5, 3, 4). —

A:

Q: Let U = {1,2,3,4,5,6,7,8,9,10} and A = {1,3,5,7,9). Find A". ....

A: Given, U=1,2,3,4,5,6,7,8,9,10   AndA=1,3,5,7,9

Q: Find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10} as subsets.

A:

Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A - B

A:

Q: Show that the N and the set {1,3,7, 15, 31, . . } have the same cardinalit

A: To show N and the set S= {1,3,7,15,31...} have the same cardinality, we need to show there is a…

Q: Let X = {1,2,3,4} SUCH THAT TX = {4, {2},{1,2},{2,3} , {1, 2, 3},X}: AND Y = {1,3,4} C X, THEN TY =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Define a set of which both {1, 3, 4} and {0, 3, 5} are subsets. Find such a set with the smallest…

A: {0,1,3,4,5} is the smallest set that contains {1, 3, 4} and {0, 3, 5} as sub-sets.

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: 2. Let U = {1,2,3,4,5,...,12},A = {1,3,5,7,9,11},B = {2,3,6,12},C = {2,3,6,12}, D={2,4,8}. Determine…

A:

Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

A:

Q: Let U={1,2,3,...,10}, A={1,3,5,7}, B={1,2,3,4}, and C={3,4,6,7,9}. Select Ac from the choices…

A:

Q: Let A=(1,2,3,4), B={00,01,10,11}, C={x,y,z}). = {(1,00),(2,01),(3,01),(3,10) (4,11)}. %3! 2 =…

A: Here we are given :     A= {1, 2, 3, 4}; B = {00, 01, 10, 11} and C = {x, y, z}Also, g is a function…

Q: Let U = {m,a,t,h,e,w,d,i,n}   X = { e,w,m,a,t}              y = {e,w,d,i,n}            Z= {h,e,w}…

A: U = {m, a, t, h, e, w, d, i, n}   U= Universal set X = {e, w, m, a, t}              Y = {e, w, d, i,…

Q: Assume that there are 2 pairs of black socks (çorap),3 pair of pink socks, and 5 pairs of blue socks…

A:

Q: {1, 2, 4, 8, 9, 10, 16} and Y = {3, 4, 7, 9, 15}, then X ∩ Y is ________. {1, 3, 6, 7} {4, 9} {3,…

A: The intersection of two sets contains the common elements of both sets, i.e., the values in the…

Q: Let f : {1, 3, 4} → {1, 2, 5} and                   g : {1, 2, 5} → {1, 3} be given byf = {(1, 2),…

A: The function f and g can be denoted as follows.

Q: Show that if any 14 numbers are selected from the set S = {1,2,3,...,25}, [14] there are at least…

A: Note that the numbers in each of the first twelve sets sum to 26, and that there is no pair of…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} ; A = {1, 3, 5, 7, 9} ; B = {1, 2, 3, 5, 8} ; C = {4, 5, 6}…

A:

Q: There is a one-to-one correspondence of subsets of {1, 2, ..., 6}, what six-character string with…

A: Given there is a one to one correspondence of subsets of  {1,2,3,4,5,6} Find the six- character…

Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

A:

Q: Let U={1,2.3,4.5.6.7,8,9,10} be the universal set and A={1,2,3,4,5,6}, B={1,3,5,8,10} Then P(A-B) O…

A: Given, U=1,2,3,4,5,6,7,8,9,10 be the universal set. Also A=1,2,3,4,5,6 and  B=1,3,5,8,10. Now we…

Q: Let u = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ..., 0}        P = {1, 3, 5, 7, 9, 11, 13, ...,21}        R=…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Draw the Hasse Diagram for the poset: ({{1}, {2}, {4}, {1, 2}, {1, 3}, {2, 4}, {3, 4}, {1, 2, 3},…

A: A Hasse diagram is a graphical rendering of a partially ordered set displayed via the cover relation…

Q: Find the set A UØ. U= {1, 2, 3, 4, 5, 6} A=(3, 4, 5, 6}

A: Given, U=1, 2, 3, 4, 5, 6, A=3, 4, 5, 6

Q: 1. a. Is {{a, d, e}, {b, c}, {d, f}} a partition of {а, b, с, d, e, f}? b. Is {{w, x, v}, {u, y, q},…

A:

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”.