Question: we define the relation S as in the attached photo. 1)Show that 2,4R4,2. 2)Is 2,4R4,8 ? Justify your answer with a detailed proof. 3)Determine all

we define the relation S as in the attached photo. 1)Show that 2,4R4,2. 2)Is 2,4R4,8 ? Justify your answer with a detailed proof. 3)Determine all the pairs of elements of S that are related, Justify your answer with a detailed proof. 4)Is the relation R reflexive? symmetric? transitive? Justify your answer with a detailed proof, or by a counterexample and a brief explanation.

Soit S - {3, 1; 2, 4; 4, 2; 4, 8}. On definit sur S une relation binaire R definie par: a Rb si et seulement si (a # b) et (2a + b E N ou [a] = )

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Antonio s Company has been making pizza sauce for the last 9 0 years. The company supplies pizza sauce to three different market segments including food service firms, manufacturers, and...

SUMMARY OF LEARNING OBJECTIVES AND KEY POINTS 1. Identify the basic elements of organizations. Organizations are made up of a series of elements: Designing jobs Grouping jobs Establishing reporting...

Part 1: You are required to collect the most recent bond market data, namely, yields to maturity, over the periods for which you have the data for both USA AND JAPAN. (Your data must be from reliable...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

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...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

Suppose that R(A, B, C) is a relational schema with functional dependencies F = {A, B C, C B}. (i) Is this schema in 3NF? Explain. [2 marks] (ii) Is this schema in BCNF? Explain. [2 marks] (b)...

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...

Write down, in simple sentences, the major reasons/motivations behind reorganization of financial statements. Calculate (i) Rturn on common equity (ROCE), (ii) Return on net operating assets (RNOA),...

Suppose the functious f, g, h, r and are defined as follows: 1 loga logg F - = (ar - 3) = 5x-2x = 2x+1-2-2 = T 1.1 Write down Dr, the domain off and then solve the equation f(2)=-log V. 1.2 Write...

One characteristic of CMOs to the issuer is that the sum of the prices at which the three bond classes can be sold normally is the price of the original pass - through. less than the same as greater...

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...