a) Use the notation (x : P(x)} , where P(x) is a propositional function, describe each for the following sets: 11 1 i) {1,2,3,4,5) ii) (3,6,9,15 .. 27 30} iii) b) Given a relation R from set A to set B, it's inverse relation R- is the relation from B to A defined by *R y if and only if vR Let A = {1, 2, 3, 4} and let R be the relation on A defined by: R= {(1, 2). (1. 4). (2, 2). (2, 3). (3. 4). (4. 3). (4. 4)} (i) (ii) (iii) Describe the connection between the binary matrices of R and R List the ordered pairs of R1 Describe the connection between the directed graphs of R and R-
a) Use the notation (x : P(x)} , where P(x) is a propositional function, describe each for the following sets: 11 1 i) {1,2,3,4,5) ii) (3,6,9,15 .. 27 30} iii) b) Given a relation R from set A to set B, it's inverse relation R- is the relation from B to A defined by *R y if and only if vR Let A = {1, 2, 3, 4} and let R be the relation on A defined by: R= {(1, 2). (1. 4). (2, 2). (2, 3). (3. 4). (4. 3). (4. 4)} (i) (ii) (iii) Describe the connection between the binary matrices of R and R List the ordered pairs of R1 Describe the connection between the directed graphs of R and R-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:GROUP 2
2) a)
Use the notation {x : P(x)} , where P(x) is a propositional function,
describe each for the following sets:
11 1 1
3'7'15
i) {1,2,3,4,5} ii) {3,6,9,15 . 27,30} ii)
b)
Given a relation R from set A to set B, it's inverse relation R-1 is the relation
from B to A defined by xR - y if and only if vR« Let A = {1, 2, 3, 4} and let R
be
the relation on A defined by:
R= {(1, 2). (1, 4). (2, 2). (2, 3). (3, 4). (4, 3). (4, 4)}
(i)
(ii)
(iii) Describe the connection between the binary matrices of R and R-
List the ordered pairs of R1
Describe the connection between the directed graphs of R and R-1
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