LetA = {x: x is a course offered by Trinity University of Asia}B = {x: x is a college in Trinity University of Asia}1. Define a relation that will relate the elements of set A to elements of set B.2. Is the relation in # 1 a relation or not? Justify your answer.3. Define a relation that will relate the elements of set B to elements of set A.4. Is the relation in # 1 a relation or not? Justify your answer.

Given: A={x: x is a course offered by Trinity university of Asia} B={x: x is a college in Trinity…

Answered: Let A = {x: x is a course offered by…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 7CA

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Does the relation is in love with have a reflexive property consider one person? a symmetric property consider two people? a transitive property consider three people?
Does the relation is a brother of have a reflexive property consider one male? A symmetric property consider two males? A transitive property consider three males?
Five Ford cars and the starting manufacturer retail selling price MSRP for each are shown in the table. Ford Car MSRP Fiesta 13,965 Focus 17,170 Fusion 22,010 Mustang 23,800 Taurus 27,055 Write the set of ordered pairscar, price represented by the data for the relation. State the domain and range created by this set of ordered pairs.
R1 = {(a, b) ∈ R2 ∣ a > b}, the greater than relationR2 = {(a, b) ∈ R2 ∣ a ≥ b}, the greater than or equal to relationR3 = {(a, b) ∈ R2 ∣ a < b}, the less than relationR4 = {(a, b) ∈ R2 ∣ a ≤ b}, the less than or equal to relationR5 = {(a, b) ∈ R2 ∣ a = b}, the equal to relationR6 = {(a, b) ∈ R2 ∣ a ≠ b}, the unequal to relation For these relations on the set of real numbers, find -R1 ⊕ R3 -R3 ∩ R5 -R2 ∩ R4 -R1 ∪ R5
State the formal definitions that a relation must satisfy in order to count as Reflexive, Symmetric, and Transitive. Then construct three small worlds showing, respectively, that a relation can be Reflexive and not Symmetric, Symmetric and not Transitive, and Reflexive and not Transitive. Finally, for each of the three small worlds that you construct, give an example of a relation in ordinary language that works like the relation in the small world you built. That is, for your first small world, give an ordinary language example of a relation that is Reflexive and not Symmetric.
Given this set of points (1, 10), (3.5, 7), (4, 8), (8, 4), (8, 16), (10, 6). Which points create a relation that is a direct variation?
Let A = {a, b, c} and B = {r, s, t,u}. Furthermore, let R = {(a,s), (a, t)}, (b, t) be a relation from A to B. Determine dom Rand ran R.
Decide whether each of the following relations is an equivalence relation or not. {(a, b) | gpa of a is greater than gpa of b, a and b are students at university}
Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest relation containing R which is both reflexive and symmetric.
PLEASE TYPE ONLY*** Exercise 8.4.1: Composition of relations expressed as a set of pairs. Here are two relations defined on the set {a, b, c, d}: S = { (a, b), (a, c), (c, d), (c, a) } R = { (b, c), (c, b), (a, d), (d, b) } Write each relation as a set of ordered pairs. (b) R ο S (c) S ο S (d) R ο R
a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element? c Does the set S have a first element? d Does the set S have a last element? e Is the set S well ordered? May you explain the answers , discrete maths?
Let ? = {1, 2, 3, 4, 5, 6, 7} and define a relation ? ⊆ ? × ? by? = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}Determine (yes or no) whether ? has the following properties (no justification is required).

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