Display within braces the elements of each of the following sets: a) A = {x € N\x < 10} b) B = {x € Z]x³ < 30} c) C = {x € Q[10x² + 3x – 1 = 0}

Q: Determine whether the given consuption matix is productive

A: Let C = 0.20.30.50.6 A consumption matrix C is productive if I - C is invertible and I - C -1 ≥ 0,…

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: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

Q: explain these results in APA 7e give as many detail as posible Boxplot-Incongruent Condition 35- 15…

A: From the given output of Boxplot We interpret the outcome.

Q: The set of numbers in the form , where a and b belong to the set in Exercise 8 and b # 0, is called…

A: Rational numbers are represented in the form of pq where q≠0.

Q: 4. Use set identities or different proof method to show that: (A U B) n (B U A°) = B

A:

Q: Answer the following questions by replying to this post. Given that the elements of the sets A, B,…

A: As per the company guidelines we can solve first three parts of question. I hope that the given…

Q: Find a set of 3 points in S' so that dcos does not satisfy the triangle inequality.

A: The sine distance between two points x,y∈ℝ2 is defined as: dsinx,y=x.yxy and the cosine distance…

Q: The set of elements common to both set A and set B is called the______ of sets A and B, and is…

A:

Q: 4. Is the set Q² x {a,b,c} countable or uncountable? You must justify your answer with a proof.

A: Given : ℚ2×a , b ,c  To Prove : ℚ2×a , b ,c  countable or uncountable

Q: Use the tabular method to to prove the following in general: 1. (An B) C (AU B) 2. The O is a subset…

A:

Q: Prove: If = ¿ (where a, b, c, and d are nonzero), b then d*

A: Given:               ab=cd  (where a,b,c  and d are non zero.)

Q: For an element to be in the intersection of sets A and B, the element must be in set Am in set B.…

A: Any elements of A intersection B must be in set A and in set B

Q: Describe the following sets by roster method: Example (i) {x : x + 5x + 6 = 0, x e N} (iii) {x : 4x…

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Q: If sets X and Y are countable, then prove or disprove that X-Y is uncountable.

A:

Q: Let A, B, and C be sets. Does A- B= A –C imply B = C? If so, prove it. If not, give a…

A: Let A, B and C are sets. We have to find out that A-B = A- C implies B = C or not If not then we…

Q: According to Bayes' Theorem, letting p = P(A), q = P(B), r = P(A|B), we can express P(B|A) as...…

A: Given that P(A) = p P(B) = q P(A | B) = r

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

A: Please check step 2 for the solution.!

Q: Let C, D be subsets of a set U. By proving two inclusions, show that (Cºn D) U (C N D) = D where CC…

A: Identities of the sets

Q: Draw figures showing two sets A and B, so that B C A. DO NOT draw the set elements.

A: As we know the meaning of B ⊆ A is that B has few or all elements equal to the set A B ⊆ A subset…

Q: Exercise 4.7 Consider n observations for which yi = a + bxi, b > 0), holds. Show that r = 1.

A: Given that there are n observations. yi=a+bxi

Q: Suppose that X, Y subset U. If Pr(X)= 0.35, Pr(Y)= 0.36, and Pr(X intersect Y)= 0.09, what is Pr(X’…

A: Given, Pr(X)= 0.35 Pr(Y)= 0.36 Pr(X intersect Y)= 0.09  Pr(X’ U Y)=?

Q: Given the following Venn Diagram: в III. IV. VI. VII. VIII. A Select the regions that correspond to…

A:

Q: In Exercises 5 O through 10D, decide whether the object described is indeed a set (is well defined).…

A: (5). The given object is:  n∈ℤ+| n is a large number

Q: Select the law that establishes that the two sets below are equal: Gn (GU Z) = G OAbsorption Law O…

A: Sets identities

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: If C {x: x2 + 11x + 30 0, x e N}, then C is a/an? %3D Infinite set Finite set None of these Empty…

A: We have to find the set C

Q: With help of Venn diagrams show that the following are indeed true: a.X n (Y U Z) = (X n Y) U (X…

A:

Q: Consider the sets A = {x € Z*,x < 13 | x prime} B = {x € Z*, x < 13 | x even} C = {x € Z*,x < 13 |…

A: For three sets A, B, and C it can be said that, A ∪ B ∪ C implies the set of elements that belong to…

Q: Write out the following sets by listing their elements between braces.

A: Given data:   d) The given first set is: Ø=({1,2}). The given second set is: Ø=({a,b}).     The…

Q: .et A, B be any two sets. Prove that if A C B, then A n B = p.

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Q: Prove that if A is similar to B and B is similar to C, then A is similar to C.

A:

Q: Let X = (6,7), and d be the ususal mortric, d(r, y) = |r - yl Gire ezample of a set ACX, to be not…

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Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: Prove S^2 is simply connected.

A:

Q: 2. Use Venn Diagrams to verify the following statement: An (B U C) = (A n B) U (A n C).

A:

Q: Let a and b be two elements in a lattice (A, ≤). Show that a ˄ b ˂ a and a ˄ b ˂ b if and only if a…

A: Suppose that a∧b&lt;a and a∧b&lt;b. To show that a and b are incomparable assume the contrary that a…

Q: Given the following sets X= {a,b,c} Y= {a} Z= {a,d} In the universe U= {a,b,c,d,e}, what is (X’…

A: Sample Space (SS): The total number of possible outcomes of an event is called Sample Space and it…

Q: The sets A and B have 6 and 9 elements respectively, such that A is proper subset B , then the total…

A: Given that set A and set B have 6 and 9 respectively. Now that A is a proper subset of B which means…

Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

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: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: If i and i are in R™, then –i is in span {ū, 3}. |

A:

Q: If sets X and Y are uncountable, then prove or disprove that X-Y is uncountable.

A: Here we will prove or disprove the given statement.

Q: Use Venn diagrams to verify that if A is contained inB, then A ∩ B = A and A ∩ B = ∅.

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4…

A: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C.

Q: Determine whether the set S = {1, x², 9 + x²} spans P2. %3D O S spans P2. O s does not

A: Introduction: Vectors' span, It is the collection of all linear combinations of a number of vectors.…

Q: Show that the union of two sets, each of measure zero, has measure zero

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Q: Prove that if C is equivalent to B and B is equivalent to A, then C is equivalent to A.

A: The relation 'R' = 'is equivalent to' is transitive. Therefore if x R y and y R z then x R z.