Determine n(U), the number of elements in the universal set, given n(X) = 47 and n(X′) = 156.

Q: Q2, 2) State both the triangle inequality and Cauchy-Schwartz inequality in SIMPLE AND CONCISE AND…

A:

Q: Are these statements true or false? The universe of discourse is the set of all people, and T(x, y)…

A:

Q: What is the power set of X? How is it denoted?

A: The power set of a set X, is defined as the set of all subsets of  Set X including null set. It is…

Q: ) Prove that A° U B° C (AU B)°. Give an example to show that equality does not always hold.

A:

Q: Q6. Comment on Pigeonhole principle. On the basis of Pigeonhole principle find minimum number of…

A:

Q: 3) Let A be a nonempty set of real numbers that is bounded below. Let -A be the set of all numbers…

A:

Q: Fuppose that the relation R indicates whether c articular student is registered for a particular c…

A: In this question, the concept of Relation is applied. Relation The relation is a relationship…

Q: What is the natural domain?

A:

Q: What is the class width (i) if one of the class interval is 18-26?

A: If class interval given is 18-26 The class width is difference between upper interval and lower…

Q: Give an example of two equivalence relations R and S on

A: Consider that R and S are equivalence relations on A=1, 2, 3.

Q: Create the logic circuit diagram for F= XY’ + XZ

A: Given problem Given that   F= XY’ + XZ

Q: know there exists at least one c in the open values of c that work.

A: We have to find the following conditions according to the given information

Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…

Q: Give an example of numbers x, y such that |x| + |y| = x − y.

A: Given that: give an example of numbers x, y such that |x| + |y| = x − y.

Q: E is closed. - E is complete, i.

A: It is given that X is a complete metric space and E is a subset of X. We have to prove that the…

Q: Let S be the subset of the ℝ2 given by all pairs (x, y) so that x2 + y2 = 2. Show that S is a closed…

A:

Q: Prove that the set {x e R : 10/x - x > 0} is bounded. Prove that the set {x E R : x² – 25x > 0} is…

A: To prove that the set x∈R:10x−x>0 is bounded. To prove that the set x∈R:x2−25x>0 is unbounded.

Q: In Exercises 93-96, use interval notation to represent all values of x satisfying the given…

A: As per guidelines, we are supposed to solve only first two questions. Please repost other question…

Q: Let X be an n-element set. Prove that there are 3n ordered pairs (A, B) of subsets of X such that A…

A:

Q: Give an example of a closed subset S of R^2 such that conv S is not closed

A: An example of a closed subset S of R2 such that conv S is not closed is given below.

Q: At Lana's bake sale, 2/3 of the brownies were purchased by 5/7 of the customers. If there were at…

A: Let X be the number of brownies and Y be the number of customers. It is given that 2/3 of the…

Q: What is the width of the class interval of 1-3?

A: Width of the class interval

Q: Define degrees of freedom in the context of t-tests

A: Determine the degrees of freedom in the context of t -test. T test: The t test is used to check if…

Q: Determine the minimum number of people at a party so that at least one of the following occurs:…

A: Given : Triad people they face-to -face  acquaintances (f2f friends). Triad people who have met…

Q: For all setsX, Y and Z, prove the given statements by the indicated method. Method of algebra and…

A: To Prove- For all sets X, Y and Z, prove the given statements by the indicated method. Method of…

Q: 3. What are the restrictions on x?

A: It is known that side length cannot be negative. This implies that, 3x+2>03x>-2x>-23 First…

Q: Find a topology in which the point x = 5 is an open set.

A:

Q: 2- Find the set of lower bounds and the set of upper bounds of the following sets in Q, if it…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: 5) Compute the number of ordered pairs (x,y) with x>0 and y>0 that satisfy x+(y)=5.3 and y+(x)=5.7

A: In this question we have to find the number of ordered pairs (x,y).

Q: 1- Find the set of lower bounds and the set of upper bounds of the following sets in R, if it…

A: Since you have posted multiple sunparts of a question so according to our guidelines we will solve…

Q: X, Y and Z be subsets of the set . Verify the following properties: XCY XUY=Y⇒XnY=X -UI 3)

A:

Q: Let R be a total relation on a set of 15 elements. Then the number of ordered pairs in R is equal…

A:

Q: Find the least upper bound (if it exists) and the greatest lower bound (if it exists) for the set:…

A: The given set is:  x | x≥4

Q: . List the elements of the set in Roaster Method. {x|x W, x < 8}

A: Given A set in set-builder form is x|x∈W, x≤8 Here, the given set includes the all whole numbers…

Q: Express the set using the Roster Method: {x|x X eN and x)53

A: GIVEN XX∈N and  X&gt;5

Q: Let S be a set of negative numbers. Prove the least upper bound of S cannot be positive.

A:

Q: (ii) Find a connected subset of R² which is not convex.

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: In Exercises 23-26, describe the set as a union of finite or infinite intervals. 23. {x : Ix - 41…

A: 23) Given that, x:x-4&gt;2

Q: 2. Let a,, az,.., a, be numbers. Show that there is a single number r such that foxo: (-a,) + (z –…

A: Solving

Q: H-W Limits 3-3- १.२। 9 iaam in

A: We will find the limit .

Q: Express the set of real numbers between but not including 2 and 7 as follows. (a) In set-builder…

A: Set: In set builder notation the real number between 2 and 7 but not including both the numbers, Let…

Q: Specify the set A by listing its elements, where A = {x: x is a whole number less than 100 and…

A: As per out guidelines we can answer only 1 question. Please repost the remaining questions…

Q: 2. Show that the set N has no limit point.

A:

Q: Show that the feasible set X = {r: g1(x) < 0,..., gr(x) <0} is a convex set, if all the functions 9;…

A:

Q: FIND: The set, A, of critical numbers of f.

A:

Q: 7.1.6 For the relation R = {(x, y) : x < y} defined on N, what is R-1, and what is the intersection…

A: The detailed solution is as follows below:

Q: 5. Can somcone cross all the bridges shown in this map cxactly once and return to the starting…

A:

Q: The set of all triples of real numbers (x, y, z) with the operations x, y,2) + (x', y',z') = (x +…

A: Given : set of all triples of real numbers x, y, z with the operations   x, y, z+x', y', z'=x+x',…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.