If R is relation on a set A, thenO a. R is reflexive if and only if R" is reflexiveO b. R is reflexive if and only if R° is irreflexiveO . NoneO d. R is reflexive if and only if R2 is reflexiveO e. R is reflexive if and only if R1 is irreflexiveLet A = {-4, –3, –2, –1,0,1,2, 3, 4,}which of the following sets is equal to ASelect one:O a. {r:z € R, r² < 20}O b. {r €N:2² < 20}O c {r € Q:z² < 20}O d. {r € Z : z² < 20}

Note : There are two questions and as per the rule we are doing only first question. The set A is…

Answered: Let A = {-4, –3, –2, –1,0,1,2, 3,…

Let A = {-4, –3, –2, –1,0,1,2, 3, 4,}which of the following sets is equal to A Select one: O a. {z : z € R, z² < 20} O b. {z € N: z² < 20} O c.{z €Q:z² < 20} O d. {z € Z:z² < 20}

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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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

If R is relation on a set A, then
O a. R is reflexive if and only if R" is reflexive
O b. R is reflexive if and only if R° is irreflexive
O . None
O d. R is reflexive if and only if R2 is reflexive
O e. R is reflexive if and only if R1 is irreflexive
Let A = {-4, –3, –2, –1,0,1,2, 3, 4,}which of the following sets is equal to A
Select one:
O a. {r:z € R, r² < 20}
O b. {r €N:2² < 20}
O c {r € Q:z² < 20}
O d. {r € Z : z² < 20}

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