do q1 problemss similar to those in ths set. necessarily 1. Un(1/n, 1 1/n), n(1/n, 1-1/m)...

Question

Question

problemss similar to those in ths set. necessarily 1. Un(1/n, 1 1/n), n(1/n, 1-1/m) 2. Is AU(BnC) = ( AUB )n(AUC) for all eve

do q1

Answer 1

Answer #1

1. Jn1(1/n, 1 1/n) = (0,1)

Clearly 1/n, 1-1/n) C (0,1), Vn1

Next for any $E(0,1)$ there exists a natural number $N$ such that 1/N 1-1/N . Hence (0, 1) C U11/n, 1 - 1/n)

Therefore Jn1(1/n, 1 1/n) = (0,1) .

n1(1/n, 1- 1/n) =

Since when $n =$ we have that (1/n, 1 1/n) = (1,0) . Hence n1(1/n, 1- 1/n) =

Answer 2

Similar Homework Help Questions

A,C,G please 1. Let A, B, and C be subsets of some universal set u. Prove...

A,C,G please 1. Let A, B, and C be subsets of some universal set u. Prove the following statements from Theorem 4.2.6 (a) AUA=/1 and AnA=A. (b) AUO- A and An. (c) AnB C A and ACAUB (d) AU(BUC)= (A U B) U C and An(B n C)-(A n B) n C. (e) AUB=BUA and A n B = B n A. (f) AU(BnC) (AU B) n(AUC) (g) (A U B) = A n B (h) AUA=1( and An-=0. hore...
write the proof problem 3 2. Let A, B and C be sets, then Au(Bnc)-(AUB)n (Auc)...

write the proof problem 3 2. Let A, B and C be sets, then Au(Bnc)-(AUB)n (Auc) 3. Let A and B be sets, then (An B)c-AcUBc.
Please help me prove 2,4, and 5. Thank you Theorem 17. Let A, B and C...

Please help me prove 2,4, and 5. Thank you Theorem 17. Let A, B and C be sets. Then the following statements are true: (1) AB CA; (2) B CAUB; (3) A CAUB; (4) AB=BA; (5) AU (AUC) = (AUB) UC; (6) An(BNC) = (ANB) nC; (7) An (BUC) = (ANB) U (ANC); (8) AU (BAC) = (AUB) n(AUC).

1. Let A, B and C be events in the sample space S. Use Venn Diagrams...

1. Let A, B and C be events in the sample space S. Use Venn Diagrams to shade the areas representing the following events (32 points) a. AU (ANB) b. (ANB) U ( AB) C. AU ( ANB) d. (AUB) N (AUC)
someone please help Let U be the universal set, where: U = {1, 2, 3, 4,...

someone please help Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17) Let sets A, B, and C be subsets of U, where: A = {1, 3, 4, 5, 12, 14, 15) B = {1, 2, 7, 13} C = {3, 7, 10, 14, 16} Find the following: LIST the elements in the set A U : AU = { Enter the elements...
There are 350 students in a class. Each of them takes a test with three questions...

There are 350 students in a class. Each of them takes a test with three questions Q1, 22, 23. Each student answers at least 1 question. There are 260 students who answered Q1, 100 who answered 22 and 70 who answered 23, 40 students answered Q, and 22, 40 students answered 22 and 23 and 30 students answered Q, and Qz. Find A the number of students who answered all questions and B the number of students who answered either...

Given the following sets, find the set AU(BNC). U = {1, 2, 3, ..., 10; A...

Given the following sets, find the set AU(BNC). U = {1, 2, 3, ..., 10; A = {1, 2, 3, 4 B = {2,3,4} C = {1, 2, 4, 5, 6) Select the correct choice below and, if necessary, fill in the ans in DA. AU (BOC)= [] (Use a comma to separate answers as needed. Use asc 01 OB. AU(BOC) is the empty set.
10.3.4 You are given (a) a set of functions un (x)--x", n = 0, 1, 2, (b) an interval (0, oo), (c)...

From Arfken 10.3.4 You are given (a) a set of functions un (x)--x", n = 0, 1, 2, (b) an interval (0, oo), (c) a weighting function w(x)-xe. Use the Gram-Schmidt procedure to construct the first three orthonormal functions from the set un(x) for this interval and this weighting function. 10.3.4 You are given (a) a set of functions un (x)--x", n = 0, 1, 2, (b) an interval (0, oo), (c) a weighting function w(x)-xe. Use the Gram-Schmidt procedure...
Please help answer all parts! (1) Prove that 75 is irrational. (State the Lemma that you...

Please help answer all parts! (1) Prove that 75 is irrational. (State the Lemma that you will need in the proof. You do not need to prove the lemma.) (2) Disprove: The product of any rational number and any irrational number is irrational. (3) Fix the following statement so that it is true and prove it: The product of any rational number and any irrational number is irrational. (4) Prove that there is not a smallest real number greater than...

all of these problems please pull in simple terms for problems 5 through 8 let =...

all of these problems please pull in simple terms for problems 5 through 8 let = {1,2,3}, B = {3,4,8}, D = {1,{1}.2 1991 B = {3,4,8}, D = {1,{1},2,{3,2},{@}}, and E = (1.2) 5. AnB = 6. A- E= 7. (ANB) UD= 8. If the universal set is the positive integers, then A= <x< 12}, A = {5,7,9), B = 2.3.4.5). For problems 9-12, let U = {& EZ2 and C = {12, 11,9}. 9. Anc= 10. AU (BNC)...