3. Given X = {x|x< 7}, Y = {x|x>-2}, and Z = {x|x< -3}, write the union or intersection in set-builder notation. а. XUY b. XNY с. XUZ d. XNZ e. YŪZ f. YNZ

Q: Let A. B. and C be non-empty sets. Then AXBXC=C×B×A if and only if* O B=C None of these A-C A-B3DC O…

A: See solution below

Q: Which of the following pairs of sets are equal? Justify your answer.(i) X, the set of letters in…

A: i) X, the set of letters in “ALLOY”. So, X={A,L,O,Y} B, the set of letters in “LOYAL”. so,…

Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

A:

Q: Suppose that A is a Hintikka set. Then, for all terms s and t, s = t E A or ¬(s = t) E A

A: Given, Suppose that is a Hintikka set. Then, for all terms S and t,

Q: If R is the universal set, find: 1. Q ∩ R 2. Z ∩ I 3. N ∩ I

A: Since R is universal set.

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

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 4. If A ={x:xe N }, B={y:ye z and -10s y<0} find A UB and write your answer in the Roster form as…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: If A = {x: x |B| D. None of these {x: x 2 + 11x + 30 = 0,x E N}, then C is a/an? A. Empty set B.…

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

Q: Q1\ Use the Venn diagram to find the requested sets. 1)C N B' 2) A- C 3) AN(B'-C) 20 15 10 5

A:

Q: (b) Show that the set A = {(x, y) E R² : y > 0} is not complete.

A: Given: The given set ,

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

A:

Q: a) Does B - A =C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c)…

A: A-B=x∈A and x∉B = A∩Bc

Q: Suppose A and B are sets such that |A| = 2 and |B| = 3. What is |P(A x B)|?

A:

Q: Which of the following statements is true about the three sets A.B.C defined below: A=[ – 4,4]…

A: The given three sets are: A=[-4,4]B=[-6,2]C=[-2,6] i.e. the set A consists of the elements…

Q: If either A or B empty set then Ax B equal empty O A

A: The solution is given as

Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

Q: Establish formally, whether the following set is open, closed, or neither closed nor open (justify…

A: We will use the basic knowledge of set theory and point-set topology to answer this question…

Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

Q: I need help with how to solve inequalities and graphing solution sets. My homework question is…

A: Given problem

Q: Which of the following sets is empty ? * O (x: X = x*2} O (x: x is not equal to x) O (x: x is not…

A: A set is said to be empty if it does not contain any element.

Q: Decide, among the following sets are subsets of one and another: A=(x xeRand x satisfy x² - 4x + 3 =…

A: Given sets, A=x: x∈R  and  x satisfy x2-4x+3=0B=1, 3C=1,3,5D=4,5,6

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Given the sets X = {x: x is an odd number less than 17}and Y= {y:y is a prime number less or equal…

A:

Q: The closure for set P would be the set |z-(1+i)| = 2 |z(1+i)= 3 |z- (1 + i)| < 1 None of the above…

A:

Q: Let A and B be sets. Then B (B – A) is equal to the above A N B

A: The Venn diagram for 2 sets can be drawn as follows.

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Q1\ Use the Venn diagram to find the requested sets. 1-4N B' 2) B-C' 20 15 3- A- (B'U C) 10

A:

Q: a) DeMorgan's laws tell us that for sets A and B, the expression (Aº n Bº)° simplifies to

A: For two sets A and B the De Morgan's Law states that A∩BC=AC∪BC.

Q: If X and Y are two sets such that           n ( X ) = 17, n ( Y ) = 23 and                    n ( X…

A:

Q: Q1\ Use the Venn diagram to find the requested sets. 1-4'N B' 2) B-C' 20 3- A - (B'U C) 10 5.

A:

Q: 1. Decide whether the folloring stabe ments ae false . Justify true or (a) YxeTR, ¥yeR, x²-y² z xy…

A: 1. a ∀ x ∈  R, ∀ x ∈  R, x2+y2 ≥ 2xy  TRUE. Because,  ∀ x ∈  R, and ∀ x ∈  R we have (x-y)2 ≥ 0.…

Q: Let A, B and C be non-empty sets and let X= (A-B)-C and Y=(A-C)-(B-C) .Check whether X=Y or not.

A:

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

A:

Q: Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).…

A:

Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: Q3 ( Let A, B and C be sets. Show that (C – A)n (A – B) = 0, without using membership tables.

A:

Q: TRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSE

A: We have to say whether it is true or not " The union of two sets A and B is the set of all elements…

Q: The intersection of sets A and B is denoted by which of the following?(a) A ∩ B (b) A ∪ B (c) A ⊆ B…

A: Sets are represented as the collection of different objects . There can be a finite set or an…

Q: Is the following set connected: V = {(x, y) € R² | 1<x² + y² <4}? Briefly justify your answer.

A: Connected set:- If any two points of a given set can be joined by a continuous polygonal arc such…

Q: Is this set finite or infinite? {x € R|1 < x < 2}

A:

Q: If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.

A:

Q: 28. Which of the following sets does not have the completeness axiom? A. R {0} B. R+ C. Q {0} D. R…

A: We have to determine which sets doesn't have the completeness axiom .

Q: Let A and B be sets. Then B - (B – A) AN B is equal to the above

A: Let A and B be sets  Let x∈B-B-A ⇔x∈B and x∉B-A ⇔x∈B∧x∉B∨x∈A⇔x∈B∧x∉B∨x∈B∧x∈A⇔x∈B∧x∈A⇔x∈A∩B ( since…

Q: Let A and B be sets. Then B - (B - A) ANB is equal to the above Ā NB is equal to the above

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Q: The Cartesian product of finite and nonempty sets can be illustrated by the intersections of a…

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Q: Decide, among the following sets are subsets of one and another: A={x:x ER and x satisfy : x - 4x +3…

A:

Q: 4. Write each of the following sets are in the set builder form ? (i) A = {2, 4, 6, 8, 10} (ii) B =…

A: Since you have posted a multiple  question according to guildlines I will solve first…