Question

Represent each of the given relations by (a) an arrow diagram, (b) a graph and
(c) a set in roster form, wherever possible
(i)x=2y,x=(2,3,4,5),y=(1,2,3,4)

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Answer 1

Given that :

x = 2y

y = x/2

if x = 2

y = 2/2

y = 1

if x = 3

y = 3/2

if x = 4

y = 4/2

y = 2

if x = 5

y = 5/2

Hence the required relation is {(2, 1) (3, 3/2) (4, 2) (5, 5/2)}

(i) Arrow diagram

(ii) A graph

(iii) in roster form

= {(2, 1) (4, 2)}

(ii) {(x, y) | y = x + 3, x, y are natural numbers < 10}

Solution :

Given that :

y = x + 3

if x = 1

y = 4

if x = 2

y = 5

if x = 3

y = 6

if x = 4

y = 7

if x = 5

y = 8

if x = 6

y = 9

R = {(1, 4) (2, 5) (3, 6) (4, 7) (5, 8) (6, 9)}

An arrow diagram :

(ii) A graph

In Roster form :

= {(1, 4) (2, 5) (3, 6) (4, 7) (5, 8) (6, 9)}

Question 2 :

A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provide ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. If A1, A2, A3, A4 and A5 were Assistants; C1, C2, C3, C4 were Clerks; M1, M2, M3 were managers and E1, E2 were Executive officers and if the relation R is defined by xRy, where x is the salary given to person y, express the relation R through an ordered pair and an arrow diagram.

Solution :

"x" be the salary given to person

"y" be the set of employees

After having gone through the stuff given above, we hope that the students would have understood, "How to Represent Relation in Arrow Diagram".

Answer 2

Answer:

(c) Roster form R = {(2, 1) (4, 3)} (ii) x = {1, 2, 3, 4, 5, 6, 7, 8, 9}  y = {1, 2, 3, 4, 5, 6, 7, 8, 9}  y = x + 3  When x = 1 ⇒ y = 1 + 3 = 4  When x = 2 ⇒ y = 2 + 3 = 5  When x = 3 ⇒ y = 3 + 3 = 6  When x = 4 ⇒ y = 4 + 3 = 7 When x = 5 ⇒ y = 5 + 3 = 8  When x = 6 ⇒ y = 6 + 3 = 9  When x = 7 ⇒ y = 7 + 3 = 10  When x = 8 ⇒ y = 8 + 3 = 11  When x = 9 ⇒ y = 9 + 3 = 12  R = {(1,4) (2, 5) (3,6) (4, 7) (5, 8) (6, 9)} (a) Arrow diagram (b) Graph​​​​​​​(c) Roster form: R = {(1, 4) (2, 5) (3, 6) (4, 7) (5, 8) (6, 9)} ← Prev QuestionNext Question → Related questions 0 votes 1 answer Represent the function f = {(1,2), (2,2), (3,2), (4,3),(5,4)} through (i) an arrow diagram (ii) a table form (iii) a graph. asked Oct 9, 2020 in Relations and Functions by Darshee (49.1k points) relations and functions class-10 0 votes 1 answer Study the relation given below an set- builder form. Represent each of them by (a) an arrow diagram asked Oct 10, 2020 in Relations and Functions by Aanchi (48.8k points) relations and functions class-10 0 votes 1 answer Let A = {4,6,8,10} and B = {3,4,5,6,7}. If f: A → B is defined by f(x) = (1/2) x + 1 then represent f by (i) an arrow diagram, asked Oct 10, 2020 in Relations and Functions by Aanchi (48.8k points) relations and functions class-10 0 votes 1 answer Let A = {6, 9,15,18, 21}; B = {1, 2, 4, 5, 6} and f: A → B be defined by f(x) = (x - 3)/3 Represent f by, (i) an arrow diagram, asked Oct 10, 2020 in Relations and Functions by Aanchi (48.8k points) relations and functions class-10 Read more on Sarthaks.com - https://www.sarthaks.com/932489/represent-each-the-given-relations-arrow-diagram-graph-and-roster-form-wherever-possible

Step-by-step explanation: