We consider the relations I (perpendicular) and || (parallel). Tick all that applies. l is transitive l is symmetric lis not reflexive || is anti-symmetric || is an equivalence relation

Q: Consider the set L of all straight lines in the plane. We consider the relations I (perpendicular)…

A: Solution of above question is -

Q: 3. (MS) Consider the relation R6 on P({0,1,2, 3}) such that (A, B) e R6 if and only if A C B. Select…

A: This is of discrete mathematics

Q: As usual let N = {1,2, 3, ... } be the set of natural numbers. Consider the following relation %3D R…

A: Ans:   R is Reflexive, Transitive but not symmetric

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

A: Answers a: Given set =  {2, 4, 5, 6, 9, 23, 24, 31, 37} This set could not be partitioned into any…

Q: a) Let A = {1, 2, 3, 4, 5, 6} and the relation R on A is defined by R = {(a, b)|a + b is odd; a, b e…

A: A={1,2,3,5} and B={4,6,9} R={(x,y): the difference between x and y is odd x∈A,y∈B}…

Q: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}. Find the reflexive…

A: The reflexive closure of relation R is the smallest reflexive relation that contains R. The given…

Q: by xFy if and only if x – y is an integer. Prove that F is an equivalence relation on R. |

A: Assume, on the set of integers Z, a relation F is defined as; xFy iff (x-y) is an even number.   For…

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: 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: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}.. Find the symmetric…

A: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}.. Find the symmetric…

Q: Determine whether the relation R on the set of all real numbers is reflexive, symmetric and/or…

A: (a) A = Set of all real numbersR = {(x, y) |x + y = 0} The relation R is not reflexive, because x +…

Q: The relation R= {(1,1),(1,4),(2,3),(2,4),(3,1),(3,4)} on the set {1,2,3,4} is : Select one: a.…

A: the correct answer is not reflexive.

Q: Assume that the relation S is defined on R as aSb, where ab E Q. Comment with example (or counter…

A: The answer is below:

Q: FEE*, define o =T if for all w E E*, ow EL(M) if anc M). Show that = is an equivalence relation on…

A: The given relation equivalent or not

Q: Consider the relation R = {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3,…

A: The Answer is

Q: c) i by xFy if and only if x – y is an integer. Prove that F is an equivalence relation on R. Assume…

A: Answer  :

Q: Determine whether the relation defined on the set of positive integers is reflexive, symmetric,…

A: In this question, we are given a relation defined on the set of positive integers. And we are asked…

Q: Consider the relation R = {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3,…

A: Summary: In this question, we have been given one relation R on set {1,2,3,4} and we have to find…

Q: FInd the relation R that induces the following partition of set A: {{1,5},{2,3,6}, {4}}.

A:

Q: Determine whether the relation defined on the set of positive integers is reflexive, symmetric,…

A: We are given a relation and we are going to see what it is. I have solved it step wise and uploaded…

Q: 2. 1 9 ef Consider the relation R on Z² given by: R= {((a,b), (c, d)) : a +d = c+b} Prove that R is…

A: To prove a relation to be equivalence, it should be : 1) Reflexive 2) Symmetric 3) Transitive

Q: Prove the following relation: ĀUB=(A=B)

A: it can be solved using de morgans law

Q: (1  1  2  3  5  8  13  21 …) Find the recurrence relation of the given sequence. Find if the…

A: We can define the recurrence relation as  Tn=Tn-1+Tn-2      for n≥2  , T0=T1=1 The nth term is the…

Q: Consider the following five relations on the set A = {1, 2, 3, 4}. Determine which of * .the…

A: Given:

Q: Let S = {(a, b) : aCb} be a relation over P(Z). Prove or disprove that S is a strict order.

A: If it is, a relation is a strict order on a set S. 1.Irreflexive: for any a in S, a<a does not…

Q: 3 of 5 Let S = {(a, b) : a C b} be a relation over P(Z). Prove or disprove that S is a strict order.

A: On the off chance that it is, a connection is a severe request on a set S.  1.Irreflexive: for any…

Q: (1) Let E be the binary relation on the set {a, b, c, d, e, f} pictured below. Write down whether E…

A:

Q: 3. Given a relation R( A, B, C, D) where FDs ans CKs are such : FDs AB -> C, BC -> D, CD -> A CKs АB…

A: Here in this question we have given a relation R and we have asked to check highest normal form in…

Q: 1. Determine whether the relation R on set Z (set of integer number) is reflexive, irreflexive,…

A:

Q: 1. Determine whether the relation R on set Z (set of integer number) is reflexive, irreflexive,…

A: Answer :

Q: Let A = {p, q, r, s} and the relation R on A is represented by the matrix (o 0 1 1) %3! 0 1 0 0 M =…

A: Lets see the solution.

Q: List all 3-tuples in the relation {(a,b, c) | abc = 6} where a, b and c are all positive %3D…

A: Given: List all 3-tuples in the relation {(a, b, c) | abc = 6} where a,b and c are all positive…

Q: Given the set F = {A→B, AB→C, AC→BD} of functional dependencies, prove the following dependencies by…

A: Armstrong axiom is a set of rule that defines the implication of functional dependencies. (Primary)…

Q: CS-Discrete maths Let us assume that F is a relation on the set R real numbers defined by x R y if…

A: Equivalence relation: A relation 'R' on a set 'A' is said to be an equivalence relation on 'A' if…

Q: Please solve 7,8,9

A: Given relation R={(1,2),(2,1),(2,3),(3,4),(4,1)} Here we have to find whether it is reflexive…

Q: • Try to demonstrate a relation of one of the following : Reflexivity, Symmetry, and Transitivity

A: Reflexive Property  The Reflexive Property expresses that for each genuine number x , x=x .…

Q: Show that ¬ (p v (¬p ^ q)) and ¬p ^¬q are logically equivalent by developing a series of log…

A: We are given two statements which we are going to prove that they are equivalent . To prove that two…

Q: Given relation:   R = ABCDEFG   F = { AB -> C, C->A, BC->D, ACD->B, D->EG, BE->C, CG->BD, CE->A,…

A:

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

A: Given: To choose the correct option.

Q: Please solve problem 4,5,6

A:

Q: Let A = {1, 2, 3, 4} and R be a relation on A described by the matrix below. [1 0 0 1] 0 0 0 1 MR =…

A: Answer to the above question is in step2.

Q: Consider the non-deterministic finite automaton whose table of the transition relation "triangle"…

A: a) Illustrate in detail the automaton defined in the transition table. Properly indicating states,…

Q: Consider the non-deterministic finite automaton whose table of the transition relation "triangle"…

A: In Given transition table, Start state=p Final state={s} Set of states ={p, q, r, s} Input…

Q: Draw the directed graph of the reflexive closure of the relations with the directed graph shown. C d

A: The directed graph representing the reflexive closure of a relation on a finite set can be…

Q: Show that either the following compound propos following by using logical equivalences identities.…

A: SOLVING: ¬(p∧(p→¬q))→¬pUsing Implication law¬(p∧(¬p∨¬q))→¬pUsing Implication…

Q: Let A = {a, b, c, d} and R = {(a, a), (b, b), (c, c), (d, d)}. Is R reflexive, symmetric, and/or…

A: Let A = {a, b, c, d} and R = {(a, a), (b, b), (c, c), (d, d)}. Is R reflexive, symmetric, and/or…

Q: we want to use Diffie-Hellman to share a secret key. users choose as global parameters q = 227 and…

A: In this question, we are given the value of alpha as 2, q as 227, and Xa as 14 and we have to find…

Q: Let a0 = 1, an = 6an−1 + 3n be the recurrence relation of algorithm A and T(1) = 1, T(n) =…

A:

Q: Cartesian products 1. Let S = {(1, 2), (1,3), (2, 1), (2,3), (3, 3), (3, 4), (3, 5)}. Give sets A…

A: - Solving first question. - We need to jusrify for the sets A, B and S.

Q: Let S be a set with |S| = 5. How many relations are there on S? А. 5! В. 55 С. 520 D. 525 Е. 225

A: There are E. 225 relations on S.