Octob Let R Define t and be the set no and A B = AnB. Then what is a.) Ø b.) 1 Jano of all in R by A + B = the soon! of) a Set X. (A-B) U (B-A) = bait Characteristic of R? esubisy d subsets ei must C.) 2 d) 3 Et X e) none of the above SNJ 10 tan o = (T x + x x² + ²x = (x) e

Q: ieN (4 For each nEN, let A, = {-2n,0,2n}. (a) UA; = (b) NA: = ieN ieN

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Q: Let U = R be the universal set and A = [1,3], B = (-∞,6], C = (-4,0). a) AUB b) BnC c) A-C d) BC

A: Let  be the universal set and  Then we have to answer the following...

Q: Let U=(1, 2, 3, 4, 5, 6, 7), A=(1, 3, 5, 7), and B=(2, 5, 7). Find the set AnB AnB= (Use ascending…

A: Note: The complement of set A is defined as a set that contains the elements present in the…

Q: Does every set A have an inverse? What is it? d) Is (U, A) a group?

A: c) Let A∈U. To find the inverse of A. For, let us find the identity element first. A△∅=A-∅∪∅-A=A∪∅=A…

Q: 1. Let A, B abd C be sets. Prove that Au (B-C) = (AUB) - (C-A).

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Q: Let T be the set of all TSU students. Determine if (T, R) a poset or not if R = {(a, b)|a ∈ T, b ∈…

A: 1 We  List all of the ordered pairs in the relation R = {(a, b)|a + b is even} on the set {1, 2, 3,…

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Q: Diagonalize the matrix -9-61 A = - 12 9 by writing it as A = PDP-1 P = D =

A: Step 1:

Q: A nB oiaivalar 111222719;10s b) A'U (B n C) 9. Find the number of the subsets and list all subsets…

A: The number of subsets of a set with n elements is 2n.

Q: 4: Ex 4.) Let S be a non empty bounded set in R. a ( a. Let azo, and let oS := {as: SES}. Prove that…

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Q: an: Conside he set A How mory Slementh ose ln set A ?

A: (a)    The repetition of elements in a set is not allowed. Therefore, the set A has only 3-elements.…

Q: prve that tor any set A of real numbers, there enist open sets Ton such that ASÑO m* (A) = m' - m*,…

A: Let A be any set of real numbers. We know that every open set of real numbers is the union of open…

Q: Question:- let V be the set f all oldeled paits 7 Yeal number. Check whether V is a veeter spare…

A: Axioms of vector space V Let x, y, z∈V and a, b∈R 1) Addition: (a) x+y=y+x (b) (x+y)+z=x+(y+z) (c)…

Q: Find the number of elements in each of the following sets. a) A'nB b) An B c) (AUB)' = = = 100

A: here Ven diagram is given  according to diagram  we have to answers the number of elements for the…

Q: Theorem:. tet a andb be nenzero integers Then there exist Integers. r andd 8 Such that Hcf (9,b) =…

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Q: a) If U = {2,4,6 ... 10} is a universal set and A = odd number B = Prime number, C = Prime number…

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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: 2. Let U = {0,1,2,3,4,5,6,7,8,9,10); a) How many subsets will A have? b) Lis only the elements of…

A: as per Bartleyby rules we have to answer only 3 subparts.

Q: 4) (AS) V (AST) = AAS, VS₂ SEA, S₂ € ₂

A: The given equation is  ∩s∈S1S∪∩s∈S2S=∩s2∈S2∩s1∈S1S1∪S2=∩s2∈S2S2∪∩s1∈S1S1 To prove the equality. The…

Q: dafine Let A and B n@t be the cardinality f a set 3. It n CA-B) = 18, n CAUB) = 70 nCAnB)= 25, be…

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Q: 8. Give an example of each oj the following (a) a set which is a nbd. of each of its points, (b) a…

A: We find an example of the given statement

Q: şa,6şc2.Debine a selation I on. pl2) which satisfies. For all set A and B in P(X) AJB ANB+

A: Given x={a, b, c}P(x)={ {a} , {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, ∅}a relation onJ: P(x)…

Q: 9. Let A, B, C and D be any sets. Prove the following: (a) If A CB and BCC, then ACC. (b) If ACC and…

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Q: Least upper bound (lub) ond gueatest lowr bound 1.b) af the set are.

A: Just explore the set and look for biggest and smallest elements of given set.

Q: 6. Let U be a set and let X be the power set of U (that is, the set of all subsets of U). Consider…

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Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

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Q: Let A-fl:2. B-12:416.871C=113,5,79 , &,97 D-13+4.57 E-f3.57 which of the these Sets fan equa. aset x…

A: Given: Following are the sets A : {1,2,3,4,5,6,7,8,9} B : {2,4,6,8} C :{1,3,5,7,9} D :{3,4,5}  E…

Q: Let S, T be any subsets of a universal set U. Prove that (ST)º = S¢ µTº.

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Q: ove any set A,B and C prove that: a) (A – C) U (B – C) = (A U B) – C

A: We have to prove the given conditions

Q: 3) Let S be o st defined os follow s: 05 Deter mire ue ther S is o con vea set or not.

A: We have,  The set C is said to be convex set if for any u,v∈C, the point tu+1-tv∈C for all t∈0,1…

Q: 28 Let A, B and C be subsets of a universal set U with CCANB. Suppose n(U) = 50, n(A) = n(B) = 25,…

A: Option f) is correct. Answer =7

Q: FIND THE BOLUTION SET OF EA CH OF THESE UNEAR INEQUAUTES a gu-5

A: " Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Q1) Consider the universal set U = {1,2, 3, 4, 5, 6, 7,8, 9} and sets A = (1,2,5, 6}, = {2,5, 7},C =…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…