1. Solve the following relational expressions for above relations. a. PName(RAge 25(User)) b. Rid>20Age!=31(User) c. Ruser.Occupationld=DOccupation.Occupationld(User X Occupation)

Q: What is the equivalence of ( ¬ (( P → Q) ∧( Q → P))) ↔ ( Q → P)?

A: the equivalence of ( ¬ (( P → Q) ∧( Q → P))) ↔ ( Q → P) is to be computed below .

Q: Show that AB→C does not logically imply A→C, nor B→C.HINT: Write a relation instance that satisfies…

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Q: Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

A: There are 3 elements in A And there are 2 elements in B

Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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Q: 4) Consider the equivalence claim: (Vx € R)(3! y E R)P(x,y) = (3! y € R)(Vx € R)P(x,y). (4.1) What…

A: Given equivalence claim is ∀x∈ℝ∃! y∈ℝPx,y≡∃! y∈ℝ∀x∈ℝPx,y The domain of a predicate is the set of all…

Q: Four relations are shown below. -4 1 4. 6. 1. III {(1,2), (2,5), (3,8), (2. –5), (1,–2)} y =x² II IV

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Q: 1. Suppose that we have the binary relations R1 C Ax B, R2C B×C, and R3 C C x D. Then the relations…

A: As per the question we are given that the relations : R3 o (R2 o R1) and (R3 o R2) o R1 are…

Q: Let A = {1, 2, 3}. Then show that the number of relations containing (1, 2)and (2, 3) which are…

A: The smallest reflexive relation on set A containing (1, 2) and (2, 3) is

Q: Bob is Phil’s father. Jack is Phil’s only brother.  Tina is Phil’s sister-in-law.  Phil is not…

A: In this case, it can be observed that John is Jack’s son and Jack is Phil’s brother and Tina is…

Q: If P(A)=p, P(A|B)=q, P(B|A)=r and A,B are mutually exclusive then what is the relation between p,q…

A: Let A and B be two events which are mutually exclusive. The probability that event B occurs provided…

Q: 4. a) Define the following terms: i) POSETS ii) Equivalence relation

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Suppose that we have the binary relations R1 C Ax B, R2 C B×C, and R3 C C x D. Then the relations…

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Q: Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are reflexive and…

A: Given: A = {1, 2, 3}

Q: Given the relations on the set of real numburs, &, - E(G,6) ER; a>b3, Rq = {CaL) EE, az6} Rs ={(a14)…

A: GivenR1=a,b∈R2 , a>bR2=a,b∈R2,  a≥ba) we know that R1+R2 contains thoseelements which are either…

Q: Create the logic circuit diagram for F= XY’ + XZ

A: Given problem Given that   F= XY’ + XZ

Q: 1. Suppose that we have the binary relations R1 C A× B, R2 C Bx C, and R3 C C x D. Then the…

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Q: What is the reflexive closure of the relation R = {(a, b) | a > b} on the set of integers? Select…

A: Reflexive Relation Definition:  A reflexive relation is the one in which every element maps to…

Q: Suppose the following relations are defined on the set of A = {-2, -1,0 1, 2, }, . List the pairs in…

A: For relation R on a set A.   R is reflexive if (a,a)∈ R, for every a∈ A.   R is symmetric if (a,b)∈…

Q: 5. when: Let be a relation where R = {(a, b): pair a,b are cross streets in city A}. Sh (a) (a, b) e…

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Q: Draw a single Venn diagram that represents the relationsh

A: Introduction: A Venn diagram could be a graphic that employs circles to depict relationships between…

Q: Which of the following relations contain each of the following pairs (1, 1), (1, 2), (3, 2), and…

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Q: The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shous three…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: Consider the relations given below: xRy:x loves y xRy:x2y iii. xRy:x is in the same classroom with y…

A: If x = y and y = x then we can say that relation is symmetric relation.

Q: Another term used to describe intervening relations is   a. unusual.   b. specification.   c.…

A: Correct answer  is   (a).  unusual

Q: Determine for the following relations on the set of people if the relation is an equiv- alence…

A: We have 4 relations in our hand. We need to decide whether they are An equivalence relation A…

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Choose all of the correct answers for each of the following: Consider the relationship R between two…

A: A] For one to one relationship both Entity E1 and E2 have direct relation. You can make any table…

Q: 1. Suppose that we have the binary relations R1 C Ax B, R2 C B×C, and R3 C C x D. Then the relations…

A: Use the following definitions, to obtain the solution. Let A and B be any two sets. The binary…

Q: Decide whether the following relations is a partial order or not. (a, b) | a Í b, a and b are…

A: We have to decide whether given relation is partial order or not?

Q: Write down all of the properties that each of the following binary relations satisfies from among…

A: The objective is: (a) To write down all the properties for “has a common language with” relation on…

Q: Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is. Chose the correct.(A)…

A: Given,

Q: Choose the small world that shows the following interference is NOT valid: (∀x)(Fx->Gx) and Fa;…

A: Given that ∀x(Fx→Gx) and Fa therefore ∀xGx The individuals are a,b Then the predicates are,…

Q: a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element?…

A: R=4,21,2,5,1a. (1,2) is not the element of R because from Hass diagram 2 is related to 1    here…

Q: Let S(x) = "x is a student at Leeward Community College"; F(x) = “x is a faculty member at Leeward…

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Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: Is the relation aRb → ab < 0 an equivalence relation on the set Z? Justify your answer.

A: Given a relation, aRb⇔ab≤0. To check whether R is an equivalence relation on set ℤ. A relation is an…

Q: For each of the following, determine which of these choices is correct. Let Ry and Ry be two…

A: We have to determine which are correct.

Q: If an expoential relation such as y=bx, if b > 0 and b ≠ 1, then the y intercept is at zero. Is this…

A: The given problem is to check whether the y intercept is at zero is true or false.

Q: Determine the domain and range of each of the following relations. Use listing method for items 1…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

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Q: a) If R and S be two relations from set A to B. Show that (RNS)-¹ = R-¹ S-¹ b) Justify the following…

A: We know that ,  A relation R defined on a set A is called equivalence relation if R satisfies the…

Q: 10. Translate the statement into English, where R(x) is "x is a rabbit" and H(x) is "x hops" and the…

A: We have to translate the given statements.

Q: Suppose there are two transitive relations R, S Disprove the claim that the composed relation S R…

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Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: A={-4,4,7,9}B={4,7} A×B=-4,4,-4,7,4,4,4,7,7,4,7,7,7,4,7,7,9,4,9,7

Q: Suppose that R is a relation. Show that R C dom(R)×ran таn(R).

A: Given R is a relation. Let R be relation on a set A. Now define domain and range of relation R as…

Q: Consider the following two statements: (1) If a relation on a nonempty set is reflexive, then it is…

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Q: 9.16. Let A = {a, b, c, d}. How many relations defined on A are reflexive, symmetric and transitive…

A: given A=a,b,c,d claim- how many realations defined on A are reflexive , symmetric and transitive and…

Q: Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B.…

A: