Given U = {0, 1, 2, 3, … , 10}, A = {0, 3, 6, 9}, B = {0, 2, 4, 6, 8, 10}, and C= {0, 4, 8}, use the roster method to find the following.  a) A ∩(intersect)  B = b) A (Prime) U B (Prime) = c) A (intersect) B (intersect) C = d) A U B U C =

Q: Given A,B and C required to prove that A\(B\C)=(A\B)U(A∩B∩C)

A: Given  A, B, C are any three sets  We have to prove  A\(B\C)=(A\B)U(A∩B∩C)    Let X be unversal set…

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A: Given,P(A)=12P(B)=310P(A∩B)=45

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Q: disprove the fallowing A,B and C; of for D PLAUB) - P (A) U P (B) ll

A: Please refer to the image below

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Q: (5) If possible, give an example af each af foll o ing la) Sets A,B and c Snch that As B, B$ C A CC.

A: Here we have to solve 5(a) and 5(b) We have to give an example about the given condition.

Q: In Exercise 22, let u = PQ\ and v = PR\ , and find (a) the component forms of u and v, (b) u ∙ v,…

A: a) Answer(a): u=(-2,6,-2) and v=(3,6,-3)

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Given:               ab=cd  (where a,b,c  and d are non zero.)

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A: Subsets are a part of one of the mathematical concepts called Sets.  In set theory, a subset is…

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).

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Q: In Exercises 9-12, let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated…

A: A = a,b,c   B = a,c,d,e    C = a,d,f,g (9).                    A∩B  =  a,b,c ∩…

Q: 1. Give definitions for N, Z, Q, R\Q, and R.

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Q: the set Co,1]uf2,3} is un countable.

A: As per guidelines we have to attempt only 1st question.if you want all questions solutions then…

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A: Explanation of the answer is as follows

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Q: Given: AABC with A(1,6), B(5,4), C(5, –2) Prove: The circumcenter of AABC is E( 1, 1 )

A: This question is related to triangle.

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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: Suppose a tair Coin is flipped twice, het A, = "Head on 1st Toss" A= "Hend on 2 Toss" Ag=" %3D 1)…

A: Suppose a fair coin is flipped twice, let A1=”Head on 1st toss”, A2=”Head on 2nd toss” and A3=…

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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

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A: Given that

Q: ute P(

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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}…

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

Q: If P, stands for "P., then prove that I+1. P, +2. P, +3. P, +...+n. P, = (n+1)!.

A: that is will be...equal the 1 + 1. 1P1 + 2. 2P2 + 3. 3P3 + …. n. nPn = n+1Pn+1. and we know that nPr…

Q: Given that U = { 1, 2, 3, 4, 5 } and A = { 1, 2, 3 }, find the complement of set A. O { 1,2, 3} O…

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Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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A: Given that,

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

A: Given

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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: 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…

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Q: Given A,B, _ and D coplanar points such that C-A -B -D $ AC dnd DiA ė of CICA), draw e ach of the…

A: Draw the diagram and then determine the conditions one by one to solve the problem.

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) -…

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Q: Let a1 , az , .. , a7 e N. Show that if a¡ , a2, 7| (a, + az + ... + a7) .... 2.. a7 are…

A: