If A is the subset of B, then simplify the following possible : a. A' U B' b. (A n B) ' c. (A U B)' d. A n B

Q: Refer to the following Venn diagram.   n[(A ∩ Bc) ∪ (Ac ∩ B)]=

A: The value of nA∩Bc∪Ac∩B is, nA∩Bc∪Ac∩B=nA∩Bc+nAc∩B=12+15=27

Q: If A is a perfect subset of B and P(a < Pb), then P(BA) is equal to O a. P(a) / P (b)

A: Given: A is a perfect subset of BP(a &lt; Pb)

Q: Given the following definintion U= {a,b,c,d,e,f,g} A={a,c,e,g} B= {a,b,c,d} find A ∩ B

A: Given,U= {a,b,c,d,e,f,g}A={a,c,e,g}B= {a,b,c,d}

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

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Q: O 750 Question 8 Provide an appropriate response. How many distinguishable arrangements of all…

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Q: Use the given information to determine the number of elements in each of the four disjoint subsets…

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Q: bropspt nat a 2, 4, OR 6 will be rolled?

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Q: Given the sets of A = (1,2,3,4,5,6,7,8) , B = (5,6,9,12,11,15,21) and C = {3, 4,5, 8, ,9,10, 13).…

A:

Q: exactly how many subsets does set B={1,2,3,4} have

A: The given set is

Q: Create a Venn diagram on first impressions at school, at work, and at both school and work. What do…

A: Create a Venn diagram on first impression at school, at work, and at both school and work. What do…

Q: Suppose n(ANB) = 3, n(AUB) = 38, and n(A) = 18. Use a Venn diagram to determine n(B). n(B) = %3D

A: Given n(A∩B) = 3,  n(A∪B) = 38andn(A) = 18

Q: Given the following ultimate class frequencies, find the frequencies of positive class. (ABC) =149.…

A: Given: The ultimate class frequencies are as follows:…

Q: According to Bayes' Theorem, letting p = P(A), q = P(B), r = P(A|B), we can express P(B|A) as...…

A: Given that P(A) = p P(B) = q P(A | B) = r

Q: Suppose that A= {a,b,c,d} Then |A| =.?

A: Let X be a set , then X be number of elements in set X

Q: Given hasse dia goram is The list of all ordered paing in the tantiel edering Ps odering is,…

A:

Q: Given the following definitions  U={1,2,3,4,5,,6,7} A= { 1,2,,4,5} B={1,3,5,7} how many elements are…

A: Given:U={1,2,3,4,5,,6,7}A= { 1,2,,4,5}B= {1,3,5,7}

Q: Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} %3D B = {1, 3, 5, 7} How…

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Q: U is the set of TV owners and W is the set of people who watch The Walking Dead, describe W' in…

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Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: A' Based on the Venn diagram, the correct statement is Select one: O a. n(A) + n(A)' + n(U) O b.…

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Q: Prove: Va,b,ce Z, if a|b and a|c then a|(b-c)

A: ab  &amp;  ac This means that b &amp; c are multiples of a. ⇒b=a·k  &amp;  c=a·m     where k, m∈Z

Q: Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How…

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Q: If A is a subset of B, and B is a subset of A, then does A=B?(Y/N) If A maps onto B, and if B maps…

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Q: Given the following definitions: U= [a, b, c, d, e, f, g) A = [a, c, e, g) B = (a, b, c, d} %3D Find…

A: Given: U=a,b,c,d,e,f,gA=a,c,e,gB=a,b,c,dwe have to calculate A∩B'

Q: a. A U A, c. AN 40 4,, and

A: As per given by the question, there are given that,  PA1=0.22, PA2=0.25, PA3=0.28, PA1∩A2=0.11,…

Q: If a, b, c are in A.P., then prove that ao +C), b(c +a), c(a + b) ab are also in A.P. bc са

A: arithmatic sequence prove , a, b,c are in A.P then prove

Q: Given the following definitions: U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}…

A: Given, U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: are given be

A:

Q: The following Venn diagram was created from surveying each student in class. Each student was asked…

A: Let,  I represents the  international students and M represents the married students. From the Venn…

Q: Suppose n(ANB) = 3, n(AUB) = 36, and n(A) = 14. Use a Venn diagram to determine n(B). B n(B) =

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Q: distinct arrangements are possible e

A: We have to find out the total number of arrangements.

Q: * which following sets is of the de numerable ? [1,20) 6. 1.9,1.99,1.999, 1.9999,1.99999,. ...}

A: We are asked to find which is denumerable

Q: Let S be a set of four elements given by S = {A, B, C, D} with the following table. * A B c D A B c…

A: Consider the set S=A, B, C, D. Given table: * A B C D A B C A B B C D B A C A B C D D A B…

Q: Let S := {l, a, t, e, r, a, l}. How many subsets does S have?

A: Given: S = {l, a, t, e, r, a, l} Here, number of elements is n = 7.

Q: SAT alex casey hunter drew blair jade erin glen francis ira From the above Venn diagram, what is the…

A: Using set theory

Q: If AB is a subset  of C,  show that P(C)≥P(A)+P(B)-1. Please show me all of your work.

A: Given that; A∩B⊂C⇒C⊃A∩B⇒P(C)≥P(A∩B)

Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set

Q: Given the following defintions  U={a,b,c,d,e,f,g} A={ a,c,e,g} B={ a, b,c,d} find A ∪ B Anwser in…

A: Given:U={a,b,c,d,e,f,g}A={ a,c,e,g}B={ a, b,c,d}

Q: Let A = {a, a, b, c} and B = {a, b, c}. Prove that A = B. Thus, the number of times an element is…

A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

Q: How many of those surveyed: (a) did not wish to travel to any of these destinations?_ (b) wished to…

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Q: Given the following ultimate class frequencies, find the frequencies of positive class. (ABC) =149,…

A: The positive classes are (A), (B) and (C). The frequencies of positive classes are obtained as…

Q: O Question 5 B = {n|n EN and 317 Next Question

A:

Q: 1. For any sets A, B, and C; the distributive law states AU (B nC); that is a. (A U B) n (A UC) b.…

A: Let A, B, and C are three sets

Q: Consider sets A={1, 3, 5} and B={2, 4, 6}. Find An B. {} {0} O {A, B} O {1, 2, 3, 4, 5, 6}

A: We have A = {1, 3, 5} and B = {2, 4, 6}.

Q: Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m,…

A: Given- ξ = a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, P = b, e, c, j, m, n, R = c, l, m, n,…

Q: Suppose set A = {green, blue, red} and set B = {gray, purple, blue} (a) What is A ∪ B? (b) What…

A: GivenA={green,blue,red}B={gray,purple,blue}

Q: Suppose that A = {2,4, 6}, B = {2,6}, C = {4,6} and D = {4,6,8}. Determine which of these sets are…

A: Given sets are: A=2,4,6B=2,6C=4,6D=4,6,8 To determine which of the set is a subset of other sets.

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”.