c) Let A and B be sets. Use properties of sets to show (A U B) n (A' O B)' = A

Q: ) (AO B) © (A^ B) = A UB.

A: Introduction :

Q: ) Now, let's find the regions that represent these sets in general. a)Using the following general…

A: So in this we are given Venn diagram so let's find out required answer.

Q: Complete the proof: If A≤B and B≤C, then ACCn(transitive property for set in inclusion) Need to…

A:

Q: Consider two sets in ℝ² with the usual topology. Is the closure of a path-connected set also…

A: We will use knowledge of general topology to solve both the parts of this question. For the first,…

Q: Define two sets, call them A and B, that makes the following statement true; if it is impossible to…

A:

Q: Given the relation R = {(u,t),(v,t),(w,t),(w,u),(w,v)} on a set A = {t,u,v,w}, what is/are the…

A: topic - relation

Q: • Show that if D is a set and E is a closed set containing D, then E must contain ƏD, i.e., the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: d) Let X,Y, Z be sets. Calculate |XUYUZ if |X| = 50, [Y|= 90, |Z| = 71, |XnY| = 8, |Xn Z| = 9, |Yn…

A:

Q: 2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

A: Introduction: We know that the difference property of two sets A and B as A/B=A∩B'.

Q: 3. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

A:

Q: Which of these sets are equal: {x, 1, z}, {z, 1, z, x}, {1, x, 1, z}, {1, z, x, 1}?

A: Given sets are x,1,z , z,1,z,x , 1,x,1,z , 1,z,x,1 find out which sets are equal

Q: C) = (*,') + "- ), Give an interpretation involving subsets. Problem 4) Prove that

A: See the hand written

Q: Let A=span(u,v) and B=span(u,v,w). Which statement is true? - A ≠ B and that is all you can say…

A: Let A=span(u,v) and B=span(u,v,w).

Q: Show that a set {V1, ..., Vp} in R" is affinely dependent when p > n + 2.

A:

Q: Let T cofinite topology on R and Y={5,6,7} find Ty?

A: We have to construct subspace topology with respect to the cofinite topology

Q: In general, to represent a catégóričal predicte categories, seU ieun

A: Given that  To represent a categorical predictor variable that has n possible categories. Possible…

Q: 5. If r = (r, (x, y, z) and ro = (xo, Yo, 20), describe precisely the set of all points (r, y, z)…

A: We plug the given values in the given equation and simplify

Q: 2. Given A, B, and C are non-collinear points, draw the following or explain why it is impossible…

A: We have given three points A,B,C  which are non colinear  that  is these three points does not lie…

Q: Let U = {x | x is a letter in the word %3D GUADALARAJA}, where this is the universe set. Also, let M…

A:

Q: 1. (a) (i) What does nMn N] = 0 imply about sets M and N? (ii) What is implied about sets A and B if…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3, 4, 5…

A:

Q: find fundamental set of soleubions cwith d real va lues for

A: Using differential equations,

Q: Q: In usual topological space (R.Tu). answer the following: 1- Is [0,1] is compact set in R? Why?…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: O (A x B) U (C x D) C (AUC) x (BUD)

A: Please check step 2 for the solution.!

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: (BUA)'= Give a 3 element subset of set B.

A: Given : U = 1,2,3,4,5,6,7,8,a,b,cA = 2,4,6,8B = 1,2,3,4,a,bC = 4,8,a,c

Q: Let A, B, and C are three sets, prove that Bx(AUC)=(B× A)U(B×C)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Let A, B, C be points in 3-space. Suppose that AB represents u and BC represents v. Then AC…

A: Given statement is true.   Because it is following triangle rule of vector addition.   According to…

Q: Let {S,}EN is a disjoint seqeuence of measurable sets , then: US, µ(S,)

A: Given a statement

Q: (a) prepare the list of the eler separate Venn- diagrams. ii. (PUQ)NR Ing sets by drawing iii. PUQ…

A: 4. (a) (i) Venn diagram of P∪Q is,

Q: • Show that if D is a set and E is a closed set containing D, then E must contain ðD, i.e., the…

A:

Q: Q. Let (X, B(R), µ) be a Borel measure space. If An BnC ¢,determine µ(AUBUC).

A:

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: Let'Y be the set of f bleod types B+ Hat type Connot donate blood to.

A: Here, X is the set of blood types AB- can donate blood. AB- can donate blood to AB- and AB+ Hence,…

Q: show that empty set, X is an element of S intersection T in topology

A: Here We have to show that empty set must be in S∩T where S and T are topology on set X.

Q: Set C and the universal set U are defined as follows. U={p,q,r,x,y,z} C={p,q,x}

A: Given,        Set C and the iniversal set U are defined as follows :         U=p,q,r,x,y,z…

Q: Prove using Venn diagram that An (B U C) = (A n B) U (A n C)

A:

Q: Let A and B be sets. Prove or disprove that B – A = BU (AnB)

A:

Q: 3. Show that if A and B sets then A – B = ANB (Note that: Using Venn Diagram is not accepted!)

A:

Q: Let S = {(1,1), (1, 2), (2, 1), (3, 2), (3,3)}. Consider the polytope conv(S). Write this set as {r…

A: The given set is S=1,1,1,2,2,1,3,2,3,3. We know that the polytope:…

Q: 1. Are the two sets (An B)UC and A - (Bn C) the same set? Use Venn Diagram shadings to prove your…

A: As per our Bartleby guidelines, we are allowed to answer one question per query, Please ask Q2 as a…

Q: {(x,a), (x,b), (x,c), (y,a), (y,b),(y,c)} is the Cartesian product AXB of two sets given as

A: Given,          x,a,x,b,x,c,y,a,y,b,y,c is the Cartesian product of A×B.

Q: Show that if A and B sets then A – B = ANB

A:

Q: d) Let X, Y, Z be sets. Calculate |X UYU Z| if |X| = 50, |Y| = 90, |Z| = 71, |X n Y| = 8, |Xn Z| =…

A: Given that X, Y and Z be the three sets.

Q: Is it true that (A×A)∖(B×B)=(A∖B)×(A∖B) for any two sets A, B? If it is true, prove it. Otherwise,…

A: Explanation of the answer is as follows

Q: Prove (((LOM)-N) U(N-(LUM))) < (LU (MUN)) L, M, N are sets.

A: To prove: L∩M-N∪N-L∪M⊂L∪M∪N

Q: What is the size of the symmetric difference of two finite sets A and B, that is AA BI ? o IIAI -…

A:

Q: If Q, R, S are sets then QU(ROS) and (S-(QUR)) U (R- (QUS))) are disjoint sets.

A: This is a problem of the set theory. Two sets QU(R∩S) and ((S-(QUR))U(R-(QUS))) are given. The…

Q: Consider A {x,y, z) and B= {w,x,y}. If U AUB. Which set is equal to (B\AY? Note: B\A = B-A. {w}…

A: Use set properties