1. Given the relation, D = {((5, 3), (7, −2), (x, 6), (−4, −7)}}, What should be the value of x so that D can be a function? A. -7 B. 5 C. -4 D. 7   2. Which of the following type of relations could be a function? A. All type of relation B. One to many C. Many to one D. Many to many   3. Let A = {1,2,3,4,5}, Which of the following is not a relation on A? A. T = {(1,2), (2,3), (3,4), (4, −5)} B. R = {(1,1), (1,2), (1,3), (1,4)} C. S = {(1,1)} D. R = {}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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PLEASE ANSWER QUESTIONS 1, 2, AND 3.

 

1. Given the relation, D = {((5, 3), (7, −2), (x, 6), (−4, −7)}}, What should be the value of x so that D can be a function?

A. -7

B. 5

C. -4

D. 7

 

2. Which of the following type of relations could be a function?

A. All type of relation

B. One to many

C. Many to one

D. Many to many

 

3. Let A = {1,2,3,4,5}, Which of the following is not a relation on A?

A. T = {(1,2), (2,3), (3,4), (4, −5)}

B. R = {(1,1), (1,2), (1,3), (1,4)}

C. S = {(1,1)}

D. R = {}

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