Show that the relation in example 1.18 is an order relation. That is, show that it is

Question:

Show that the relation in example 1.18 is an order relation. That is, show that it is reflexive and transitive, but not symmetric.

Figure 1.6
Integer multiples

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:30 AM

See More Questions

Show that the relation R on a set A is symmetric if and only if R = R1, where R1 is the inverse relation.
Show that the relation R on a set A is reflexive if and only if the inverse relation R1 is reflexive.
Show that the relation R consisting of all pairs (x, y) such that x and y are bit strings that agree in their first and third bits is an equivalence relation on the set of all bit strings of length...
Starting with acetylene as your only source of carbon atoms, identify how you would prepare each member of the following homologous series of aldehydes: a. Ethanal b. Propanal c. Butanal d. Pentanal
List and explain the five theories of social responsibility.
Consider the Minitab output below. (a) Fill in the missing values. What conclusions would you draw? (b) Is this a one-sided or two-sided test? (c) Use the output and a normal table to find a 95% CI...
What factors that are important to Gen Z individuals may influence entrepreneurial firms priorities in the future?
Project managers must not only calculate variances but also determine the root cause of the variance. Some variances may be allowable while others must be explained together with a corrective plan...
1. Electric potential is given by V=6x-8xy-8y+6yz - 4z Then magnitude of electric force acting on 2C point charge placed on origin will be :- (1) 2N (2) 6N (3) 8N (3) 8N (4) 20 N 2. Figure shows...
Product mix and overtime decisions Excel Corporation manufactures three products at its plant. The plant capacity is limited to 120,000 machine hours per year on a single-shift basis. Direct material...
Let Si, i I be a collection of open convex sets. We have encountered two distinct notions of the extremity of a set: boundary points and extreme points. Boundary points, which demark a set from its...
If S is a convex set in a normed linear space, ext (S) (S). The converse is not true in general; not all boundary points are extreme points. However, boundary points and extreme points coincide when...
Identify some typical issues for people who are ethically concerned with the environment.
In 2002 the United States imposed tariffs on steel imports, which are an input in a large number and variety of U.S. industries. Explain why political lobbying to eliminate these tariffs is more...
A contract between Moss Energy, a U.S. firm, and Electronique, S.A., a French company, provides that disputes between the parties will be adjudicated in a specific British court. This clause is a. a...
A survey indicated that chocolate is the most popular flavor of ice cream in America. For each of the following, indicate the possible effects on demand, supply, or both as well as equilibrium price...
The Federal Trade Commission (FTC) issues an order relating to the advertising of Midtron Corporation. Midtron appeals the order to a court. The court may review whether the FTC has a. exceeded its...
A South African seller and a U.S. buyer form a contract, which the buyer later breaches. The seller sues in a South African court and wins damages, but the buyers assets are in the United States. If...
For the following exercises, use the given point on the unit circle to find the value of the sine and cosine of t. V2 2 V2 V2 22 2
Determine the reactions in supports A and D and connections B and C. Sketch its shear and moment diagram and determine the magnitude ankoration of the maximum shear and moment for every member. 18 3...
Define IP: Rn x Rn R by IP (x, y) = . (a) Find D(IP) (a,b) and (IP) (a,b). (b) If f,g: R Rn are differentiable, and h: R R is defined by h(t) = , show that hI (a) =
Le Ei, i = 1,., k be Euclidean spaces of various dimensions. A function f: E1 X. X EkRp is called multi linear if for each choice of xj Ej, j I the function f: EiRp defined by g(x) = f(x1,.,xi-1,...
Regard an n x n matrix as a point in the -fold product Rn x . x Rn by considering each row as a member of Rn.. a. Prove that det : Rn x . x Rn Rn is differentiable and b. If aij : R R are...
1. Consider the following pseudocode. What does it produce? Set a = 0 Set b = 0 Set c = 1 Set d = 1 Report the value of d Repeat until a equals 10 Set d = b + c Set b = c Set c = d Add 1 to a Report...
3. It has been observed that a particular plant's growth is directly proportional to time. It measured 2 cm when it arrived at the nursery and 2.5 cm exactly one week later. If the plant continues to...
List four equivalent forms for the rational expression. x-2 x+9

Show that the relation in example 1.18 is an order relation. That is, show that it is

Question:

7 9 6 8 2

Step by Step Answer:

Reflexive every integer is a multiple of itself ...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions