For the following directed graph, do the following: 1. give (in set notation, e.g. { (a,b), (c,x), ...}) the set that corresponds to the graph expressed as a relation (set of ordered pairs). (8 pts) 2. is the relation reflexive? (2 pts) Why or why not? 3. is the relation symmetric? (2 pts) Why or why not? 4. is the relation transitive? (4 pts) Why or why not? a d f

Q: a. Write a set of ordered pairs (x, y) that defines the relation. b. Write the domain of the…

A: As there are multiple sub parts, only first three are solved here.

Q: Part 2. Each relation given below is a partial order. Draw the Ilasse diagram for he partial order.

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Q: 8. Let S = {(a, b), (b, a), (b, d), (b, e), (b, f), (c, c), (d, e), (f,c), (f, f)} be a relation on…

A: INTRODUCTION: A set of ordered pairs is a pair of components that appear in a specific order and are…

Q: Fuppose that the relation R indicates whether c articular student is registered for a particular c…

A: In this question, the concept of Relation is applied. Relation The relation is a relationship…

Q: 3. Select the range of the relation. {(Alabama, monarch butterfly). (Arkansas, honeybee),…

A: To find the range of the given relation.{Alabama, monarch butterfly, Arkansas, honeybee,…

Q: 4 1) 3 bes this digraph illustrate a relation that is symmetric or transitive or neither? ymmetrid…

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Q: Let X= {a,b,c,d}, Y = {1,2}, and G = {(a, 1), (b, 2), (d, 1)}. Is G the graph 7. of a function from…

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Q: The table lists four Olympic athletes and the number of Olympic medals won by the athlete. Athlete…

A: a) We write the data from the given table as (x,y) coordinates.  (Dara Torres,12) , (Carl Lewis,10)…

Q: 3. Which graph models the relation {(2, 1), (1, 2), (1, -2)}?

A: Given: The relations is {(2,1) , (1,2) ,(1,-2)}  which gives that 2→1     ⇒(2,1)1→2    ⇒(1,2)1→-2…

Q: Could you please help me?

A: The example of the set and their relation which is Symmetry , Transitive but not reflexive  A=1,2,3…

Q: 9. Let X = {r1,12, 23, T4}, Y = {yı,y2, Y3}, and Z = {zı, z2}, Let R be the relation from X to Z…

A: Given: 9) X=x1, x2, x3, x4, Y=y1, y2, y3 and Z=z1, z2, z3. R=x1, z1, x2, z2, x3, z1, x3, z2 and…

Q: 1. Make a table of values for each relation. Graph each pair of relations on the same set of axes a)…

A: First we will find out the value of the functions given at the points. Then using these points we…

Q: 1. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a…

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Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

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Q: The relation Q is represented by directed graph below. A C D Write the relation as a set of ordered…

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Q: Help please

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Q: 1. Consider the relation < on the set {1,2, 3, 4}. Write down this relation as a set of ordered…

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Q: 1. Let A = {0, 1,2,3,4,5). Write out the relation R that expresses > on A. Then illustrate it with a…

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Q: Matching Match each relation in questions 1-3 with one of the following models. م 1. WORDBANK A. -2…

A: Given graphs :-