A 12 7 22 11 27 17 28 23 8 В E 1 18 13 16 6 31 29 /24 26 /21 19/ 20 30 32 15 10 25 14 4 C 3.

Q: Let 4, B, and C be sets. Show that а) (А — В) — С СA-C. b) (A — C) n (С- В) — 0.

A: It can be solved by the set theory

Q: Find the intersection of the sets. {s, e, t}∩{t, e, s}

A:

Q: F oranges pineapples bananas apples pears V рeas carrots beans potatoes corn

A: Given:  Venn diagram where  F is subset of C and S is subset of F then  S is subset of F and S is…

Q: The boxplots display case prices (in dollars) of varieties of grapes produced by three different…

A: A box plot helps in understanding the distribution of the data.

Q: 3. Let A, B be nonempty sets and a,b ¢ A, 1,2 ¢ B. Show that if A B, then AU{a, b} ~ BU{1,2}.

A:

Q: A W C с 3 р a 6.0 D g h f B

A:

Q: Define the sets A, B, C, and D as shown. Find A ∪ (B ∩ D

A: We have to define A, B, C and D first and then find the A∪B∩D. Assume  A=1,2,3,4,5,6,7 B=1,2,6,7,8,9…

Q: ketch a three circle Venn diagram and shade the region represented by the set. a) (R  U  S) ∩ T b)…

A:

Q: Determine if the statement below is true or false. If it's true, give a proof. If it's not, give an…

A: Given that For all sets A,B,C we have  A∪B∩C=A∪B∩A∪C

Q: Given sets A = {@, #, $} and B = {#, $, %}, find P(AnB). O {ø, {#}, {$}, {#, $}} ○ {ø, {#}, {$}} O…

A: Given: The sets A and B are given by A=@,#,$ and B=#,$,%. To Find: We have to find PA∩B. Concept to…

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: Q17D. Define the sets A, B, C, and D as shown. Find (A ∩ C) ∪ (B ∩ D).

A:

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 of the following is not a Voronoi diagram?

A: In a Voronoi diagram, we have sites, cells, and vertex. We have the following important properties…

Q: O SETS Union and intersection of finite sets Sets B and A are.defined as follows. B={a,b f) A= {b,c…

A: Given below the detailed solution

Q: Use set notation to identify the shaded region.  (B ∪ A) ∩ C B ∪ A ∪ C     B ∩ (A ∪ C) _ B ∩ (A ∪…

A:

Q: Show that if S x T is a closed subset of R2, then S and T are closed subsets of R.

A: As per the question we are given two subsets of R i.e. S & T and we know that the set S × T is…

Q: lease draw the ponts below : A. (3,6,4) B(3,-1,2) C(-1,2,3)

A: Point A=3,6,4

Q: The range or value about maximum domain?

A: From the given solution, we see that the particular solution to the given IVP is         y(x) =…

Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: Are the sets (AUB) - (ANB) and (A-B) U (B-A) equal? Draw Venn diagrams to illustrate why or why not.…

A:

Q: Let R(a, b, c), S(a, b, c), and T(a, b, c) be three relations. Write one or more Datalog rules that…

A: Given (R∪S)-T The solution for (R∪S) is as follows ∪(a,b,c)←R(a,b,c) OR S(a,b,c)--------(i) The…

Q: Using these sets, find the following: DU (EU F) D = {b, a, c, k} E = {t, a, s, k) F = (b, a, t, h).

A: Given, D=b,a,c,kE=t,a,s,kF=b,a,t,h D∪E∪F is to be determined.

Q: Let A and B be sets. Prove that A Ū B = (A − B) U (B − A) U (ANB).

A: Let A and B be any two sets.Prove that: .

Q: Let A and B be sets. The symmetric difference of A and B, denoted A∆B, is the set A∆B = (A −B) ∪(B…

A:

Q: Topology: Give five pairs of things and words (3-, 4-, 5-letter words, respectively) that are…

A: We need to find, 5 pairs of things are homeomorphic. 5 pairs of words that are homeomorphic.

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

A: Let A, B and C be the three sets. Prove that, A∩B⊆C, and x∈B, then x∉A-C

Q: Let A and B be sets. The union of A and B is A U B = {x|x € A V x € B}. The intersection of A and B…

A: Let A and B be two sets. We need to prove that A ∪ B = A ∩ B¯. We know the property that if two sets…

Q: A CU (A - B) в) BU (C - A) с) в - (АС) BU (A - C)

A:

Q: ppose A, B, C are sets. Prove that (AUB) - C = (A-C) U (B-C). oof.

A:

Q: Let 4, B, and C be sets. Show that а) (А — В) — С сA-C. b) (А — С) n (С- В) 3D0.

A:

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

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

Q: 1. Find Bézout coefficients of 24 and 15. a) –2 and 3 b) 2 and –3 c) 15 and 24 d) 3 and -2

A: Bezout coefficient ( 24,15) 24 = 15*1+9 15= 9*1+6 9= 6*1+3 6= 3*2+0   And take back we obtain 3 = 9…

Q: Prove that if two sets A, B are both subsets of T, then their union is a subset of T.

A:

Q: Test: Test 1: Chapters 1, 2, and 3 Use the Venn diagram to represent set A in roster form A= (Use a…

A: From Venn diagram we can see that, both set A and B are intersects, so both sets have some common…

Q: If A has 4 elements and B has 4elements, then the number of possible relations from A to B is O 24.…

A: