1. (a) (i) What does nMn N] = 0 imply about sets M and N? (ii) What is implied about sets A and B if nlAU B = nB]? %3D (b) A survY Was carriel

Q: 4. Two sets with the same number of elements is known as . sets 5.In a market, 50 women sell only…

A: "Since you have posted a question with multisubparts, we will solve first three parts for you. To…

Q: Let's compare the cardinalities of N and I.

A: We will find out the required solution.

Q: 3. Use C.P. or I.P. or both to construct proofs for the following (= Unit 9 -plus the rules from…

A: The venturi meter is a device used to measure the flow rate of a fluid flowing through a pipe.…

Q: The mean weight of female nurses working at a local hospital is at most 138 lbs. Express the null…

A: given data μ=average weight of all female nurse working in hospitalclaim : μ≤138 lbs

Q: 1. Let P(A) = 0.3 and P(B) = 0.6. a) Find P(AUB) when A and B are independent. b) Find P(A/B) when A…

A: P(A) = 0.3P(B) = 0.6

Q: 7. If P(A) = 1, P(B) = 1, P(AB) = , then determine P(AUB), P(ANB), P(AB), P(ABUAB).

A: P(A) = 1/4 P(B) = 1/2 P(AB) = 1/6

Q: C) = (*,') + "- ), Give an interpretation involving subsets. Problem 4) Prove that

A: See the hand written

Q: a носо many paths are there from A to B along vertical and horizontal lines in which you are only…

A: Solution of the question is given below.

Q: U = {a,b,c, d, e, f,g,h}, A = {b,d, f,g}, B = {a, c, f,h}, C = {a,b, e, g, h} Find the following:…

A: Given Data: nU=a, b, c, d, e, f, g, h nA=b, d, f, g nB=a, c, f, h nC=a, b, e, g, h

Q: 5. Let A and B be sets with P(A) = P(B). Write a proof by contradiction to establish that A = B.…

A: Assume that there are some sets A and B such that PA=PB but  A≠B.  Since, A≠B there exists some…

Q: Given the Venn Diagram where U= {2, 4, 5, 6, 9, 10, 16, 21, 23} %3D U M N 13 10 9. 6. 4 23 11 16 21…

A: In the question it is asked to calculate following terms for the Venn Diagram given in question.…

Q: 2. Prove that the following propositions are false. (a) MLABC = MZDEF ZABC = ZDEF. %3D %3D (b) AABC…

A: Consider the given propositions: m∠ABC=m∠DEFIt means measure of ∠ABC is equal to measure of…

Q: 2.21 let E, and E2 be two measurble sets. Then (1) The difference E₁ E2 is measurble. (ii) The…

A:

Q: When we are considering n objects taken r at a time, with r . 1, why will the number of combinations…

A: "When we are considering n objects taken r at a time, with r . 1, why will the number of…

Q: The mean weight of female nurses working at a local hospital is more than 142 lbs. Express the null…

A: Given Information Claim:- Mean weight of female nurses working at a local hospital is more than 142…

Q: 4) Let A and B are two sets as given below, show that A = B. A = {m EZ| m = 2a for some integer a}…

A: The given sets are:A=m∈ℤ m=2a for some integer aB=n∈ℤn=2b-2 for some integer bWe have to show that…

Q: Explein the falloring We say [Climin)]~ and [Cangles]o (clmin), (e,gur)) ris incident. d Shakernent…

A: d) It is given that l,m,n and p,q,r are incident if and only if There exists s∈Q such that l=sp,…

Q: De Morgan's law states that for any sets A and B a. (A U B)' = A' n B' c. (A U B)' = A' UB' b. (An…

A: We want to state Demorgan's Law

Q: 10. De Morgan's law states that for any sets A and B a. (AU B)' = A'n B' c. (AUB)' = A' U B' b. (An…

A: We want to state Demorgan's Law

Q: Let U{m,n,o,p.q.r,s,t,u,v} and K{k.l.m.n.v). Find the compliment of K (K').

A: We have to write the elements of U which are not in K

Q: Find formulas for the number of permutations of {1,...,n} with: (a) exactly one fixed point; (b) at…

A:

Q: diverges. . Determine wether.the.semies.converyes.co.. .b.(.n.) .C... n³+ 3

A:

Q: 10 Jlgull et S={1,3,5,. . .;2,4,6, .}, then s(7) = {1,3}.a O {1,3,5,.. .}.b O {1,3,5}.c O…

A: Given a statement

Q: Gu Sind values ofx in following fue 21 o Sgn Cx J =llo 22 3. sgn(x²x-2)= -\ 23 24

A:

Q: Buniakovski26 inequality) If neN and a,a2, ... ,an, b,b2,..,bn are real numbers, prove that k%3D1…

A:

Q: 2 1] Assume A = 1 3 4. [2 2 4 and B = show that (AB)' = B' A' [3 6 4]

A:

Q: 2) (05) 0 (^{) -A $ 1 As 2

A: Let  x∈∩S∈S1S ∪∩ sS∈S2.Then, x∈∩S∈S1S and  x∈∩S∈S2S.   ⇒x∈S  for  each  S∈S1    and  x∈S  for  each…

Q: QI: Find Sup; Inf; Max; Min for the following sets: (a) S = 2 : m,n EZ+; (b) T = {nez}. n+1

A:

Q: 4. Let A

A: Given,                A=1, 2, a, b, ϕ

Q: 2. Calculate -330. Show all work. (Recall that o-330 = (0-1)330)

A:

Q: P(X=x) 0,10 0,20 0,30 0,40 X 3 4 18 - 5 P(3 s X <4)= ??? O A) 0,30 B) 0,20 C) 0,50 D) 0,40 O E) 0,10

A:

Q: Find the following sets. U = {1,2,3,4,5} A = {1,2,3} B = {5} B' A' U B' A'O B' A n B' AU B'

A: We need to find sets.

Q: 1. For given fuzzy number A={(3/0,4); (4/0,6)(3/0,8)(4/1)}; B={(2/0,7):(3/1): (4/0,7)}. Determine A+…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Refer to the Venn Diagram shown below. Find K - L'. K L 11 2 18

A: The given diagram is:

Q: Q3) it s'ss then s is closed.

A: