1. Given each relation write down the properties that the relation has. If the relation does not have a particular property, give an example showing why.   a) R = \{(a,a), (a,c), (b,b), (c,b), (c,c)\}R={(a,a),(a,c),(b,b),(c,b),(c,c)}   2.The relation on any collection of sets where XX is related to YY if |X|=|Y|∣X∣=∣Y∣

Q: Suppose ρ is the relation defined on P({1, 2, 3}) in which, for A, B ∈ P({1, 2, 3}), AρB means "A…

A: Given: P({1, 2, 3}) A, B ∈ P({1, 2, 3}) AρB means "A and B both have exactly 2 elements."  ρ is…

Q: Consider the relation schema R (A, B, C, D, E). Find number of super keys if A, CD and BE are the…

A:

Q: Based on the properties of a relation, explain why the following is not an example of a relation:…

A: The given table has duplicate rows. Row1 and 2 are duplicated Row 4 and 5 are duplicated

Q: n with attributes A1, A2, ..., An. As a function of n, tell how many superkeys R has, if  The only…

A: Introduction A super key is an attribute (or combination of attributes) that is used to identify…

Q: How many minimal keys this relation has? A B C DE F G 1 4 4 4 2 4 3 2 5 4 4- 2. 4- 2. 3. 4. 2. 3. 4-…

A: Given that how many minimal keys this relation has? actually it required 6 keys to give a relation…

Q: B.  Draw the digraph of the relation on {a, b, c, d} 1.  {(a, b), (b, b), (b, c), (c, d), (d, a)}…

A: Digraph is a directed graph consists of a set of nodes and set of ordered pairs called edges. Here,…

Q: AC→D, AB→C, AB→D, AB→E

A: Option C: Third normal form

Q: Given the relations CLASS(ClassID, Cycle, T'eachinghours) and STUDENT(StudentID, ClassID, StudName).…

A: Concept used:- master child relationship using primary key and foreign key.

Q: Suppose we have three relations r(A, B), s(B, C), and t(B, D), with all attributes declared as not…

A: Natural join:- 1. Natural join joins two data sets based on the same attributes names and datatypes.…

Q: Given relation R(A,B,C,D,E) with dependencies АВ -> с CD -> E DE -> B The candidate key of this…

A: Candidate Key is minimal set of attributes of a relation which can be used to identify a tuple…

Q: Write Queries in Relational Algebra = sleer (r) = From T =where Op(7) Consider the following schema:…

A: Solution:   Given,

Q: Suppose we have three relations r(A, B), s(B, C), and t(B, D), with all attributesdeclared as not…

A:

Q: Given the relations CLASS(ClassID, Cycle, Teachinghours) and STUDENT(StudentID, ClassID, StudName).…

A: Answer:- Option-(A)-A class must have at least a student.

Q: What does it mean to be related? How do you define a relation's properties?

A: Relation is a property of set that we study in discrete math. Two set be said as related when it…

Q: Show that AB→C does not logically imply A→C, norB→C.HINT: Write a relation instance that satisfies…

A: Functional Dependency : Functional dependency is a relationship that exists when one attribute…

Q: A_ _is a property of the entire relation, rather than of the individual tuples in which each tuple…

A: 1) A key in DBMS is an attribute or a set of attributes that help to uniquely identify a tuple (or…

Q: an example, suppose a eates a new relation ri with a foreign key pointing to anotner relation r2.…

A: this is about foreign key and its constarint.

Q: Write the relation matrix for the relation R on the set (a,b.c.d,e.f) which is defined as follows:…

A: Relation Matrix: Any relation can be represent using the matrix representation. The matrix contain…

Q: Question 9: The maximum number of superkeys for the relation schema R(E,F,G,H) with E as the key is…

A: The maximum number of superkeys for the relation schema R(E,F,G,H) with E as the key is 8. Option 4…

Q: Consider the following Relation instance of R1(A, B, C, D): A D Null Null 1 Null Null 1 1 Null 1 2 4…

A: A relation stores data about entities using database languages. The structure of a relation is…

Q: 1.) Let R be a relation defined on the set Z by aRb if a < b. What property/properties are violated?…

A: Question 1: The Reflexive Property of a relation states that for every (x,x) belongs to relation R…

Q: Map the car sale ER schema into a relation schema. Specify all primary keys (underline) and foreign…

A:

Q: Create an unnormalized relation using student and class entities.

A: Here, we have to create an unnormalized relation using student and class entities.

Q: Could you tell a step by step procedure of finding a super key for A relation R(A,B,C,D, E) having…

A: Solution - In the given question, we have to find the super key of the given relation R(A,B,C,D,E).…

Q: 17. If X, Y and Z are Boolean variables, then (X+Y)(X+Z)=0, if X, Y, Z takes the value A. 1,0,0 В.…

A: Hello Student. Warm Welcome from my side. Hope you are doing great. I will try my best to answer…

Q: What are three criteria that indicate that a surrogate key for a relation's main key should be…

A: Surrogate key: It is a key that does not have any contextual meaning but is used to identify the…

Q: 1. Consider the following relation: BIKE_SALE(Bike_ID, Salesperson_ID, Date_Sold , Sale_Commission,…

A: The candidate's keys from this relation: { Bike_ID, Salesperson_ID} as the closure of these…

Q: Convert the following relation to 2NF, and then to 3NF. Show both conversions. Remember to include…

A: FIRST NORMAL FORM (1NF) : It does not eliminate redundancy, but rather, it’s that it eliminates…

Q: Consider the relation R = {F, T, D, N, S} and the set of functional dependencies K = {F¬D, {D, T}…

A:

Q: FIELDS (ATTRIBUTES, COLUMNS) Field names sid пате login age gpa 50000 Dave dave@cs 19 3.3 53666…

A: Given, Figure 3.1 is the Student relation. Here in question 1 we want to find not candidate key…

Q: For each of the following pairs of expressions, give instances of relations thatshow the expressions…

A: R = {(1, 2)}, S = {(1, 3)}

Q: Consider the following relation on the set of positive integers R = {(x,y) | x+y > 10} Is this…

A: The given relation is :  R = { ( x, y ) | x + y &gt; 10 } The domain is the set of all positive…

Q: Suppose RR is a relation with attributes A1,A2,…,AnA1,A2,…,An. How many superkeys will RR have if…

A: Given RR is a relation with attributes A1,A2,…,An  a) The only candidate key is A1 b) The only…

Q: Write a relational algebra expression that is equivalent to the following SQL statement: SELECT…

A: Given SQL statement is, SELECT AVG(SALARY) , COUNT(*) FROM EMPLOYEE WHERE  GENDER = 'M' GROUP BY…

Q: Let R be a relation from the set A = {0, 1, 2, 3, 4} to the set B = {0, 1, 2, 3}, where (a, b) eR if…

A: Given: A = {0, 1, 2, 3, 4 } &amp; B = {0, 1, 2, 3} Since the relation is defined as a+b = 4, we need…

Q: Assume that the following graph represents a relation. Which of the following is true about the…

A: given the following graph represent a relation which of the following is true.

Q: Consider the relation R = {F, T, D, N, S} and the set of functional dependencies K = {F¬D, {D, T}…

A: Answer : { T , N } is a key of Relation R .

Q: Let R be a relation defined on the set Z by aRb if a <b.

A: Given:

Q: Authorname, Book_type, Listprice, Author_affil, Publisher) Author_affil refers to the affiliation of…

A: (a) Explanation: =&gt;Let say relation BOOK =R, Book_title = A, Author_name = B, Book_type = C,…

Q: Defined the relational algebra operations as follows: SELECT (p, R) is equivalent to σp(R)…

A: we have to write a SQL statement for the given relational algebra. PROJECT (&lt;STUD_ID,…

Q: Z × Z by (w, x)S(y, z)

A: ANSWER:

Q: If v is a scalar and R is a relation, which statement holds? Select one:

A: Lets see the solution.

Q: Suppose we have three relations r(A, B), s(B, C), and t(B, D), with all attributesdeclared as not…

A: While creating a database, if there is some column where it is mandatory to feed in data that is we…

Q: relation by a - b (mod n) is Partial Order Relation Ture False O

A: A relation is said to be partial order relation if it is Reflexive Antisymmetric Transitive.

Q: S, (3) C in U is a foreign key to T, (4) these relations do not contain size (i.e., the number of…

A: Here below, I am unable to use the join symbol used in the question. Hope you are able to…

Q: Find rollno of students who less than 3 cgpa.

A: 2. Select rollno from Students where cgpa&lt;3 ;

Q: for the following relations on the set A = {1, 2, 3}: Q = Ax A = the universal relation, determine…

A: Given Set A = { 1,2,3}   Contains 3 elements.

Q: Suppose you are given a relation grade_points(grade, points) that provides a conversion from letter…

A: Search the student's total grades of ID 12345, All of the student's courses. Choose sum (* points)…