Osing thiS ue statements below. E Z, 0| n ,m E Z, n|| m

Q: A = {xe Zx is odd} B = {2, 3, 5, 6, 9, 14} C = {xEZ:4≤ x ≤ 12} Select the set corresponding to (An…

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Q: How to determine The direchon that the arrow at the pout 6,1) at he eghahión of he 1t arder g'=…

A: find the slope of the equation  at particular  point Example : y'=y-2x Take x=  0     0      0     0…

Q: Let A be the set {a, {1,a}, {3}, {{1, statements are true and which are false? (a) a € A. (b) {a} A.…

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Q: 5) (12) Let T CZ, T ={2,5, 10, 17, 26, 37, ...}. Prove that set T is countable or uncountable.

A: We will define a function from N to T

Q: Let ={N,Ø,E,E°},then & is not Boolean algebra. ulgn O Ihi O

A: False Statement

Q: Prove n and n² always have the same parity. That is, ʼn is even if and only if n² is even.

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Q: 2. Define the sets X = {1,2,3} and Y = {4,5,6}. Now, define the relation R from X to Y by „R, if and…

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Q: Give reason why the fellowing function one Runctions not ametric are thhs-xtst thit tat \मि

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Q: Let o+ a eR and let G= {na| nez} ,then (G, +) is an abetian gronp. ( Hint: the identity element is…

A: Let 0≠a∈R and let G=na|n∈Z, then G, + is a group if the following properties are satisfied. 1.…

Q: - 7 Let v, = 1 6. V3 = -7 and u = 7 Determine if u is in Nul A, where A = V1 V2 V3 6 6 7 6 Is u in…

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Q: こ be terms Prove Find o of ů, ů. your resubts . in

A: Consider the given vectors: Here the objective is to find the vector w such that

Q: f =xi+yj+ zk then the curl of F is: A. 3 B. 37 C. D. 1I

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Q: Referring to the figure, suppose that fc, F. dr = 20. OF₂ Use Green's Theorem to determine fc, F.…

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Q: Q Let S hen S is homeomephie to a(), d P2 Q. One of the following statements iS wrong a. l-1,0 = [1,…

A: Same types of two intervals are homeomorphic

Q: Given any set A and given any functions f : A → A, g : A → A, and h : A → A, if h is onto and f o h…

A: Given any set A and given any functions f:A→A, g:A→A, and h:A→A, if h is onto and f∘h=g∘h, then f=g.…

Q: Theorem: let S₁, S₂ be the collection of sets D (US) U (US). = US. SES, VS₂

A: Solution: Let S1  and S2  be  the  collection of sets.We  have  to show  that  ∪S∈S1S∪∪ sS∈S2=∪…

Q: Statement {11, 12, 14} {11, 12, 13, 14, 15} {2,7} ≤0 [c, d, f, g} C {c,f} {r, t, v, x, y} Z {r, t,…

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Q: discrete maths

A: Given that, sets A, B, C be defined as follows-

Q: Which of the following are disjoint sets? O B.(1,2,8) and (2,8,4) O C (1,2,5) and (3,4,5) (1,8,5)…

A: Given the sets:  1,2,3 and 2,3,4 1,2,5 and 3,4,5 1,3,5 and 1,3,6 1,3,5 and 2,4,6 We have to check…

Q: Example 1a Given: LM PN, XMXN Prove: LX PX Statements L N P M Reasons

A: Given that LM¯≅PN¯,XM¯≅XN¯

Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: Let gcd(a, b) = d then which of the following is correct (i) (ii) b|d (iii) d|(ax – by) v[p a. All…

A: gcd(a,b) = d  So, by definition, d | a and, d | b  &, d | (ax - by) for all integers x & y…

Q: If A (0, a) then find A Mult ple Choice (0.0 0), (a, 0, , (0. a 0). 10, a . (a. D, 0). (a. 0. , la,…

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Q: 11 Let S be the congruent modulo 5 relation on Z , that is m S n → 5|(m – n) . Show the relation S…

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Q: Let {A :A E A} be a family of subsets of IR. Show that • When A is finite, we have

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Q: Let U= set of all natural numbers A = {r:x = 7y, y E N}, B = {r:x = 4k, k E N}, and C = {r:x = 3n +…

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Q: The domain for variables x and y is the set {1, 2, 3). The table below gives the values of P(x, y)…

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Q: Given U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10), S1={1,3,5,7,9), S2-(1,2,4,6,8,10)} What is the S1 n Sz in…

A: Given:            U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}S1 = 1, 3, 5, 7, 9 and S2 = 1, 2, 4, 6, 8, 10…

Q: Let S be a 50-element subset of {1, 2, 3,...,87} and let T = {s+11 :sE S}. Prove that SnT+ Ø.

A: This is a question of Set theory, application of the Pigeon Hole Principle.

Q: 1. Find the answer on the given sets below corresponding the operations (union, intersection and…

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Q: ACDE AXWV. What is m<E? C 90 D 510 W 510 390 V O 51° 90° 39 180°

A: Triangles are similar.  So angle E = 39 Option C is correct

Q: Let {A :A E A} be a family of subsets of IR. Show that • When A is finite, we have U A CU A, N 4…

A: To prove the given statement we need to use the following definition, Union of sets: The union of…

Q: oltain The feterminant f The matria 3. 2-3 /- -3 5

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Q: Which of the  following statements is false  about the f distribtuons  1  for each pair of degrees…

A: Probability distribution  F-distribution

Q: Let {A :A E A} be a family of subsets of IR. Show that • When A is finite, we have U A CUA, • When A…

A: Recall that, the finite union of closed sets is closed, and the finite intersection of open sets is…

Q: I a² |a, then a E{-1,0,1}. a iš an integer and

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