Consider the set L of all straight lines in the plane.We consider the relations I (perpendicular) and || (parallel).Tick all that applies.lis transitiveTis symmetricT'is not reflexive|| is anti-symmetric|| is an equivalence relation

Solution of above question is -

Consider the set L of all straight lines in the plane. We consider the relations I (perpendicular) and || (parallel). Tick all that applies. I is transitive I is symmetric O L'is not reflexive || is anti-symmetric O || is an equivalence relation

Consider the set L of all straight lines in the plane. We consider the relations I (perpendicular) and || (parallel). Tick all that applies. I is transitive I is symmetric O L'is not reflexive || is anti-symmetric O || is an equivalence relation

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter6: Sensitivity Analysis And Duality

Section6.7: The Dual Theorem And Its Consequences

Problem 8P

See similar textbooks

Related questions

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: b) Given the following relations: A r & 0 В 8 B 3 8 5 7 C 9 14 8 12 A В 8 D 7 8 S Find (i) the…

A: The question is to perform the relational algebra queries to the given tables.

Q: Let R be a relation on the set of all integers such that aRb if and only if a + b is even. To show…

A: First, let's correct the statements related to the anti-symmetric property: To show that R is…

Q: Consider the relation R defined on the set Z x Z: R = {((a,b),(c,d)) | a = c (mod 4) a b = d (mod…

A: given that

Q: Let R ⊆ A × A be a a binary relationship defined in a non-empty set A. Let B be any set so that B⊆…

A: In this problem, we explore the properties of a binary relation R on a non-empty set A and its…

Q: For each of the following relations on the set of all real numbers, determine whether it is…

A: Here is the analysis of each relation:a. Relation: x + 2y = 0Reflexive: Not reflexive. for example,…

Q: Define a sequence c0, c1, c2, … of pictures recursively as follows: For all integers i ≥ 1…

A: A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a…

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

A: A.

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 <= y.…

Q: Let A be a non-empty funute set and let S = P(A). Define relation R ⊆ S × S by: xRy ⇔ |x| = |y|,…

A: In this question we have to prove Realtion R is an equivalent relation for the define data and need…

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: 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: 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: q ∧ r) are logically equivale

A: (p → q) ∧ (p → r) and p → (q ∧ r) are logically equivalent using equivalence law.

Q: Computer Science Let L = {w ∈ {0, 1}*: w has an even number of 0s and the last character of w is a…

Q: -------If R is reflexive, symmetric and transitive then the relation is said to be Floor(2.4) +…

Q: Define the relation | on N\{0, 1} by a | b precisely when a divides evenly into b. Identify all…

A: The solution to the given question is:

Q: Which two operating systems are the best and why?

A: An operating system is an interface between a computer user and computer hardware. An operating…

Q: a) Define a relation R on R (the set of all real numbers) as follows: For all x, y € R, xRy → x < y.…

A: Given: For all x,y ∈ R, xRy<-> x<y.

Q: Show that (p ∧ q) → r and (p → r) ∧ (q → r) is logically equivalent.

A: Yes, these two statements are logically equivalent. To show this, we can use truth tables, which are…

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: Lets see the solution.

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: Prove by Algebra of Proposition, the following relation is tautology [(A → B) ^ A] –→ B

A: (A - -> B) ^ A - -> B is tautology if for every value of A and B , (A - -> B) ^ A -…

Q: The domain for the relation R is the set of all integers. For any two integers, x and y, xRy if x…

A: Answer: The domain of relation D is the set of positive integers. For x, y ∈ Z+, xDy if x evenly…

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

Q: QUESTION 3 he domain for the relation R is the set of all integers. For any two integers, x and y,…

A: Answer: Our guidelines is answer the first three sub part form the first part

Question

Consider the set L of all straight lines in the plane.
We consider the relations I (perpendicular) and || (parallel).
Tick all that applies.
lis transitive
Tis symmetric
T'is not reflexive
|| is anti-symmetric
|| is an equivalence relation

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

The domain for the relation R is the set of all integers. For any two integers, x and y, xRy if x evenly divides y. An integer x evenly divides y if there is another integer n such that y = xn. (Note that the domain is the set of all integers, not just positive integers.) Symmetric Transitive Anti-symmetric Reflexive
-------If R is reflexive, symmetric and transitive then the relation is said to be Floor(2.4) + Ceil(2.9) is equal to Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + ---- 1 and g(x) = x ^2. The composition of fog (-2) is The power set of (a} is -----
2 Let A = {1,3,7,9,10} , and let R be the relation on A defined by 'x? < y', 2 R = {(x, y) E A:x² < y} (i) (ii) Write R as a set of ordered pairs. Determine whether R is reflexive, symmetric, antisymmetric and/or transitive. (iii) Find the zero-one matrix for relation R.
Let A be a non-empty funute set and let S = P(A). Define relation R ⊆ S × S by: xRy ⇔ |x| = |y|, where | · | denotes the set cardinality.(i) Prove that R is an equivalence relation. (ii) Find all equivalence classes for the case A = {1, 2, 3}.
Define the relation | on N\{0, 1} by a | b precisely when a divides evenly into b. Identify all maximum, minimum, maximal, and minimal elements of |. Prove yourresult and if no maximum, minimum, maximal, and minimal elements exist explain why.
Please help me with this. I am having trouble understanding what
et �=[5914], �=[−5−3−5], and �=[558]Are �,� and � linearly dependent, or are they linearly independent?Linearly independentLinearly dependentIf they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.�+ �+ �=0.
7. For each of the following relations on the set of all real numbers, determine whether it isreflexive, symmetric, antisymmetric, transitive. Here xRy if and only if:(a) x + 2y = 0 (b) x = 2y(c) x − y is a rational number (d) xy = 0(e) xy ≥ 0 (f) x = 1 or y = 1 (f) x = 1 or y = 1(g)x is a multiple of y (h) xy = 1 PS:Please help me by doing all the subparts as it is connected correctly on a word processing document.
a. The relation x ≡ y if and only if x mod 4 == y mod 4 is an equivalence relation. Use this equivalence relation to partition the set {2, 4, 5, 6, 9, 23, 24, 31, 37} into equivalence classes. b. How many substrings “aab” are there in wwRw, where w = aabbaab? c. Prove that (LR)* = (L*)R for all languages L.
1
need correctly
Prove the implication rule.That is, prove that (P → Q) ↔ (P′ ∨ Q) is a tautology.