given the communities A and B as follows .Find A⋂B: a) set A = {x∈R | divisor of 16} set B = {∈R | divisor of 10}

Q: Given two sets A and B, prove that the condition ACB is equivalent to the condition A N B = A.

A: We will solve the following.

Q: Let A, B and C be members of C. Compare An (BuC) and (An B)U(AnC)

A: A Venn diagram is a graphical representation of a sample space. The sample space in a Venn diagram…

Q: Given the Venn diagram, shade the corresponding regions. 1. A - (B' ∪ C')' 2. (A ∪ C')' - B

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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: Let A, B and C be members of C. Compare An(BUC) and (An B) U (AnC)

A: Introduction: Suppose x belongs to the set A ∩ (B ∪ C).

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: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

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

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Q: Draw appropriate Venn diagram for the following: (Aº n B“)

A: The Venn diagram depicting the sets E , A , B can be drawn as follows .

Q: Use the given information to fill in the number of elements for each region in the Venn diagram.…

A: Please check step 2 for the solution.!

Q: If A, B, and C are the sets of points inside the three circles below, what region represents (AB)AC?

A: For the sets: A, B, C, we need to define the region for A∆B∆C.

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

A: Given: n(A')=70, n(B') = 36, n(A' intersection B') = 20, n(U) = 200.

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

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Q: Given the following Venn Diagram: в III. IV. VI. VII. VIII. A Select the regions that correspond to…

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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: Consider the Venn Diagram below.   How many elements are in Set A      ?  How many elements are in…

A: According to given, a). elements in set A= 8 b). elements in set B= 9 c). elements in set A and…

Q: If a and b are in R^n, is −a in span{a , b }?

A: Let a,b∈ℝn

Q: (A U B) N (A U C) U A

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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: Given the Venn diagram, shade the corresponding regions. a. A - (B' ∪ C')' b. (A ∪ C')' - B

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Q: ) Illustrate the other distributive law by selecting the region(s) corresponding to An (BU C) on one…

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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: ANBANBA' O B A'N B'

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Q: Given that n(A n B) = 11, n(A n BnC) = 8, n(A n C) = 14, n(B n C) = 8, n(A n C') = 9, n(B n C') = 9,…

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Q: 3. Given the following Venn diagram, shade the area that represents (А Ө В)nс. A в | 5. Draw the…

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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: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information…

A: Draw the Venn diagrams depicting this scenario . Use the Venn diagrams to obtain the number of…

Q: 2. Find the measure of each of the following. a. MZABD b. MZAED с. mZBAC 40

A: Solution is given below:

Q: Which set of given information does not prove ACAM ACOM? O ZMCA EZMCO, ZCAM2 ZCOM O AC OC, ZACM E…

A: Given

Q: Given a set S of size n and A⊆S of size ?k, how many subsets of S contain A?

A: Given : a set S of size n. A⊆S Where the size of the set A is k. To Find : How many subsets of S…

Q: Question 7 B = {n|n EN and 97 Next Question

A: B=n|n∈ℕ and 97<n≤103.

Q: 2. If sets A and B are not regular, is ¬A regular? Is A B regular?

A: In this question given that A and B are not regular set We need to find A∪B is regular

Q: If "C,, = "C, then n is equal to 4.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: n(ANB) = 9, n(ANBNC) = 3, n(BnC) = 7, n(B- A) = 6, n(BUC) = 19, n(Anc) = 5, n(AUBUC) = 24.

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Q: 2. Find the sum of the interior angle measures of a convex 11-gon.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13,  a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: Which regions represent set ANC?

A: Here use basic of venn diagram  Here in venn diagram  there are 3 events A , B and C

Q: the following ultimate class frequencies, find the frequencies of pósitive class. (АBy) %3D 738,…

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Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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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: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information.…

A: Detailed explanation mentioned below

Q: 9) For the sequeace 0,2,4,6,• Calculate Soo.

A: Consider the given sequence, 0, 2, 4, 6, .... The sequence can be written as, We have to find S∞.…

Q: Use the Venn diagram below showing the number of elements in regions I through IV to determine the…

A: The venn diagram showing the number of elements in regions I through IV.we have to find number of…

Q: 10. Given sets A, B, and C, such tha |U = 175|, |A| = 42, |B| = 20, |C| = |ABC| = 4. Calculate:…

A: The formula of sets for the three  sets A, B, and C is: n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) -…

Q: Given the Venn diagram, shade the corresponding regions.

A: Venn diagram are used to pictorial representation of different groups. It used for easy understand…

Q: Given the following information, determine the number of elements in each of the four disjoint…

A: Given: n(A)=35, n(B)=85, n(AUB)=90, n(U)=100.

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”.