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: Direction

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Q: *r) Corsider the pllowing. U= Ca, b,c,e,i,) A scf of Ietters in 1hc word dcad B sct of lett ers in…

A: Given:- U = {a, b, c, e, i,d}  A= set of letters  of word dcad B= set of letter of word abide To…

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: Prove that for any sets A, B, C: (AUB)-B A - B

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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: Let U = {1, 2, 3, 4, 5, 6, 7} (the universal set)  Let A = {3, 5, 7} Let B = {4, 5, 6, 7} a) Find…

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

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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: Homework: Determined whether the following sets are open or closed in (R¹, 1) [a,b] x x [an, bn];…

A: As per our company guideline we are supposed to answer only one question with its 3 subparts.  So I…

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: 12) If PC M, then Which of 0/1 the following set represent P n (P U M) ? *

A: set problem

Q: Show that if A and B are sets with AS B, then a) A UB-B. b) ANB-A.

A: Let A and B are two sets with A⊆B a) Let x∈A∪B which implies that x∈A or x∈B. Hence we can imply…

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: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

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: Samas (:])-[-] - (M)-[:] L (1) a) why do you know as compute given. {0.00} solve using system…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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: Ex 4.) Let Sbe a non empty bounded set in 1. aj Let azo, and let a S:= {as: SES}. Prove that inf…

A: Let S be any -empty bounded set in a) Let  , and let  Since,   is a bounded subset of , Sup and Inf…

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: Consider (Power set of R, c). Let B= {{3},N,Z,Q,R-Q), then Sup(B)= %3D O a. R O b. Q O c. R-Q Od.…

A: Consider Power set of R, ⊆ Let B=3, N, Z, Q, R-Q then SupB is the set S∈Power set of R such that…

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: • Assume all sets are subsets of a universal set U. Suppose that A, B, and C are arbitrary sets,…

A: For problem a i have proved the both seth inequality. And for second i have used algebraic method

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: 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…

Q: 23. Find the power set of each of these sets, where a and b are distinct elements. a) {a} b) {a, b}…

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