2 (10 marks) Let the relation on Z be defined by xuy if and only if x y (mod 4) (i) (1 mark) Is reflexive (ii) (2 marks) Isu symmetric (iii) (2 marks) Is antisymmetric (iv) (2 marks) Is transitive (v) (2 marks) Is is an equivalence relation If so determine the equivalence classes (vi) (1 marks) Is...

The Answer is in the image, click to view ...

2. (10 marks) Let the relation on Z be defined by xuy if and only if...

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

Question:

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Posted Date: Mar 05, 2024 08:45 PM

See More Questions

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...
Which of the following domains are closed and which are bounded? (a) {(x, y) R: x + y 1} (b) {(x, y) = R: x + y <1} (c) {(x, y) = R: x 0} (d) {(x, y) R: x > 0, y > 0} (e) {(x, y) = R: 1 x 4,5 y 10}...
The Lotka-Volterra equations described in Sec. 28.2 have been refined to include additional factors that impact predator-prey dynamics. For example, over and above predation, prey population can be...
Find the median for the amounts: $17,485; $14,978; $13,592; $18,540; $14,978.
Which of the following is correct about the AlCPA's attestation standards? a. The attestation standards supersede generally accepted auditing standards. b. The attestation standards supersede...
The Cash and Carry Building Supply Company has received the following order for boards in three lengths: Length ... Order (quantity) 7 ft. ..... 700 9 ft. .... 1,200 10 ft. ..... 300 The company has...
How does the level of employee engagement correlate with their organizational commitment, and what practices are most effective in promoting both?
Consider the data in Figure 5.25 for Deb?s Dance Studio: Adjustment Data 1. Insurance expired, $1,000. 2. Dance supplies on hand, $1,100. 3. Depreciation on dance equipment, $2,500. 4. Salaries...
A couple buy a new bedroom set for $8000 and 10 years later sell it for $4000. If the depreciation continues at the same rate, how much would the bedroom set be worth in 4 more years?
When sulfur dioxide is emitted into the air it is transported over long distances and is converted to sulfuric acid. This gradually falls to the ground, either as rain or snow or simply by settling...
An automobile maker is interested in the marginal willingness to pay by consumers for fuel economy in the cars the manufacturer produces. The automobile maker has asked you to conduct a hedonic...
How would things change if land were not an input into production? In particular, how would the conclusions regarding how an increase in pollution would effect wages and land rents change?
Explain how the public interest theory of regulation might come to a different conclusion regarding emission fees vs. marketable permits than the interest group theory.
Pierre is a software engineer, working in a heavily polluted city in northern France. He does not like the pollution, but the pay is good and housing is relatively cheap. He is considering taking a...
Compute Ao and No for the following cases: (a) A glow discharge, with n = 10" m, KT, = 2 ev. (b) The earth's ionosphere, with n = 10" m, KT, = 0.1 ev. (c) A O-pinch, with n 10 rn, KT, = 800 eV.
An auto-parts manufacturer is considering establishing an engineering computing center. This center will be equipped with three engineering workstations each of which would cost $25,000 and have a...
Complete the proofs for Corollary 10.1 and parts (b) and (c) of Theorem 10.2. Corollary 10.1 Let a,b, c Z+ with b 2, and let f: Z+ R. If f(1) = c, and f(n)=af(n/b) + c, for n=bk, k 1, then (1) f ...
Let G = (V, E) be a loop-free connected graph with | V | = v. If | E | > (v/2)2, prove that G cannot be bipartite.
(a) If G = (V, E) is an undirected graph with |V| = v, |E| = e, and no loops, prove that 2e v2 - v. (b) State the corresponding inequality for the case when G is directed.
A political pollster approaches people on the street and asks them to describe their political affiliation. Twenty-eight people describe themselves as Democrats, 25 as Republicans, 8 people provide a...
Listed below are a number of hypothetical research hypotheses. For each hypothesis, identify the independent and dependent variable. a. Male drivers are more likely to exhibit road rage behaviors...
Listed below are a number of research questions and hypotheses from actual published articles. For each hypothesis, identify the independent and dependent variable. a. The use of color in a Yellow...

2. (10 marks) Let the relation on Z be defined by xuy if and only if...

Question:

Expert Answer:

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these mathematics questions