Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} Let sets A and B be subsets of U, where: A = {1, 3, 4, 8, 9} and B = {2, 4, 7, 8} Find (A U B)°: { Find A° n B°: {

Q: 1 Determine whether or not the three given points le on a ne A (1,1,2), B(-1,-9, 3), C (3,2,1) 2.…

A:

Q: Prave that for all sets A and B, (ANB) = A UBC %3D

A:

Q: 11. For sets A and B, define AAB (A\B) U (B\A). Prove that A B if and only if AAB=0. - (a) Let A and…

A:

Q: For sets A and B, prove that AU (B – A) = B

A:

Q: 6. Given the universal set U ={x | x e 1, -10 sxS 10} A = {-2, -1, 0, 1, 2, 3 } B = {2, 3, 4, 5, 6,…

A:

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of th the following sets. (a) Ax B (c)…

A:

Q: 1) Which of the following point sets are in general position? aj {(0, 1), (1,3),(2,5)}, b.) {(0,0),…

A:

Q: For the universal set U and the given sets U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5}, B = {1,2},C =…

A:

Q: Exercise 2. Let A, B C R. (a) Prove that AUB = AUB. (b) Prove that ANBCAN B. (c) Find sets A and B…

A: Solution:-

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: S Dite Y as b, and Va, îf possi ble. (if not ponible, enter ImporsiBce) V= (9, -24,-13,-14), H,=…

A:

Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Direction: Define subsets of Za, as follows: A = {a | a E Za and a 5} A = {a | a E Za and 3| a} 1.…

A:

Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

Q: For all sets A, B, and C, prove that (AUB) - (CA) = AU (B-C) Please indicate the reason for each of…

A:

Q: Consider following five sets: I.{ , } { } II. { } III. IV. { , , } V. { , } Find all set(s)…

A:

Q: Rhombus LM wth varticeE A-10, 21. KT-2, 0, 4, 20. and M-2,-4: %

A: I have transformed to half size.

Q: A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 200, n(B) = 160, and n(A N B)…

A:

Q: (1) In the universal set U ={1,2,3,4,5} we define the following sets: A ={1,2,3}, B = {3,4}, and C =…

A: Note: You have posted a question with multiple subparts. We have solved the first three subparts for…

Q: Let → a = and → b = . Find k so that → a and → b will be orthogonal (form a 90 degree angle). Let…

A:

Q: Let A = (-2, 4)., and B = [0, 0). Choose sets that are infinite and uncountable. O B° \ A O Bº nQ O…

A:

Q: Suppose v = (2, 5, 4), |w| = 3 and the angle between v and w is 30◦ (a) Find v · w (b) Find compvw…

A:

Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

A:

Q: Prove: For all sets A, B and C, An (B-C) = (ANB) - (ANC).

A:

Q: List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if…

A: 1. As 0≤0, 0≤1, 0≤2, 0≤3, 1≤1, 1≤2, 1≤3, 2≤2, 2≤3, 3≤3 So the ordered pairs relation is R = {(0, 0),…

Q: Let K = {A, Ā, A-°, A-o-, A°, A°¯, A°-o}. Show that K is closed under the interior and closure…

A:

Q: Find two sets A and B such that A E B and AB.

A: A=ϕ. And B={ϕ}Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Let A = [3, 8], and B= (-00, 4). Choose sets that are infinite and uncountable. O P(ANN) O P(AnQ) O…

A:

Q: (m) W ) Given A, Be {sets}, V AC B, A – B= A.

A: Given: A,B∈sets and A⊂B since A⊂B⇒A-B=ϕ we have to prove A-B=A So, these will happen when A=ϕ So,…

Q: Find the intersection of the sets. {w, y, z}∩∅

A: Given, w,y,z∩∅we have to find intersection of the sets.