p.629, icon at Example 2 # 1. Let R be the relation on {1,2, 3, 4} such that R = {(1, 1), (1, 4), (2, 3), (3, 1), (3, 3), (4, 4)}. Find: (a) the reflexive closure of R. (b) the symmetric closure of R. (c) the transitive closure of R.

Q: Match each of the following relations on S = {the set of all people in the US} with the correct…

A: Small Example to understand Reflexive, Symmetric, and Transitive: - s={1,2,3,4} R={(1,1)…

Q: Let X = {0, 1}. (a) List (as subsets of X X X) all possible relations on X. This answer has not been…

A:

Q: 2. Let N be a relation on R where Ny if and only if zy < 0. Is N reflexive? Is N symmetric? Is N…

A: Solution:- Let N be the relation on  R such that xNy if and only if xy&lt;0 ( R is a set of real…

Q: Let R be a relation on A = {0, 2, 3, 7} and R = {(7,7), (3, 3), (0, 2), (2, 0), (2, 2), (0, 0)}. Are…

A: SOLUTION- Given, A ={0,2,37} and R={(7,7),(3,3),(0,2),(2,0),(2,2),(0,0)} 1)True  A  relation R…

Q: Consider the set of F of the following functional dependencies on relation R(A, B, C, D, E): AB C…

A:

Q: ALGORITHM 1 A Procedure for Computing the Transitive Closure. procedure transitive closure (MR:…

A: - We have to give the transitive closure of the relations using the algorithm.    - I am using C++…

Q: Let R be a relation on A = {0, 2, 7, 8} and R = {(7, 2), (8, 8), (8,0), (2, 7), (2, 2), (7,0)}. Are…

A: The given relation R is defined on the set A = {0, 2, 7, 8}, and R = {(7, 2), (8, 8), (8, 0), (2,…

Q: Let R(A, B, C, D, E, F) be a relation with FD's: {D→ CE, C-→ BDE, E→ AD, AF→ E, B→ D}. Which of the…

A: The given functional dependency is, { D -&gt; CE , C -&gt; BDE , E -&gt; AD , AF -&gt; E , B -&gt; D…

Q: ) [*+ Let R= {(1,2), (1,4), (2,3), (3,1), (4,2)} be a relation on {1,2,3,4}. Find the symmetric and…

A: The symmetric closure of a relation R on a set A is defined as the smallest symmetric relation on A…

Q: Let A={1,2,3} and B={4,5,6). The set X={(1,4),(3,6),(2,4),(1,5)} is: O a relation between from A to…

A:

Q: The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is…

A: Option ATransitive.

Q: 1) Let F be a set of functional dependencies given as: F = {A'- BC, B → C, A - B, AB → C}; Find…

A:

Q: 1. If we project the relation R(A,B,C,D,E) with dependencies A→→BC, B→D, and C→→E onto S(A,C,E),…

A: Answer is given below-

Q: Define a relation as follows: ARA = {(a, b) , (a, c), (b, c)} Select the properties that the…

A: Answer to the above question is in step2.

Q: Decompose R into a set of 3NF relations, that is lossless join and dependency preserving.

A: Here we decompose it in 3nf and check dependency preserving.…

Q: Consider a relation T on Z where T = (1,1)}. Is T reflexive? Is T symmetric? Is T transitive?…

A: Given a relation T on Z T={(1,1)}   T is not reflexive because Z is integer and has many element so…

Q: Indicate the properties of each of the following relations. For each relation, indicate whether it…

A: here are the properties of each relation:R is reflexive, symmetric, and transitive.R is…

Q: b) Express the following relation using a set-builder notation R = {(1, 2), (2, 6), (3, 9), (4, 16),…

A: Set-builder notation is a mathematical notation for describing a set of representations.

Q: Let R be a relation on A = (0, 1,7,9). If (7,9) ER, what must NOT be an element of R for R to be…

A: Let R be a relation on A = {0, 1,7,9). If (7,9) ER, what must NOT be an element of R for R to be…

Q: For example, let A = {1, 2, 3} then Cartesian product A × A = {(1,1), (1,2), (1,3), (2,1), (2,2),…

A: Brief explanation about Reflexive, Symmetric and Transitive is presented here:-

Q: For non empty binary relation R={(a, a).(a, b),(b, a).(b, b).(c, C).(C, d).(d, C).(d, d)} on the set…

A:

Q: Let R be the relation R = {(a, b) | a < b} on the set of integers. Find a) R-!. b) R.

A: a)R-1

Q: The relation x ≡ y if and only if x mod 4 == y mod 4 is an equivalence relation. Use this…

A: A.

Q: elp

A: help plz i will rate you  discrete structure

Q: Suppose a relation schema R = (A, B, C, D) is decomposed into following relations R1(A,B,C) and…

A: A relation schema R is decomposed into R1 and R2

Q: A = {1,3,7,9,10} , and let R be the relation on A defined by x < y', {(x, y) e A:x² < y} Write R as…

A: Here in this question we have given a set A{ 1,3,7,9,10} and a relation is defined as x^2 &lt;= y.…

Q: Suppose relation R is defined as two-dimensional matrix A. Give a pseudo-code for transitive…

A: A)THE BELOW ANSWER IS FOR BOTH PARTS IN THE QUESTION: #include &lt;bits/stdc++.h&gt;using namespace…

Q: The reflexive and transitive closure of the relation A = {(0,1),(1,2)} on B = {0,1,2} is…

A: Here in this question we have given a relation on some set B. and we have asked to find the…

Q: Let Ri and R2 be the relations on (1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 = {(1,1),…

A: we will discuss the composition of the given relation in the next step

Q: Q5) Consider the following Relation (T) which is a bag(Recall our discussion about bags an sets) P 1…

A: Relational Algebra which refers to the one it is a procedural query language which also it takes a…

Q: Question 5 Let set A = {1, 2, 3} and S is a relation on set A, where S= {(1, 1), (1, 2), (1, 3), (2,…

A: Relation S is said to be transitive as for a,b,c in A, if (a,b) is in R and (b,c) is in S, then…

Q: Consider the relation R = {(a, d), (b, a), (b, c), (c, b), (c, c), (d, a)} on the set {a, b, c, d}.…

A: Below are the required answers :

Q: Let S = {1,2,3}. Let be the relation on S x S defined by (a, b) ≤ (c,d) a ≤ c and b>d (a) Show that…

A:

Q: Define a relation R on Z×Z by (m,n)R(s,t) if and only if m-n = s-t. Is R reflexive? symmetric?…

A: In the given case, we prove all three one by one.

Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

A: Symmetric closure of the set A={a,b,c}

Q: What ů co- vovi ance 6 Suppose if there are 20 studenta Peight and weight are consistent then it is…

A: The Answer is