3. SupposeR denotes set of all real numbersZ denotes set of all integersz+ denotes set of all positive integersA = {x € zt |- a

a. suppose my matric number is 2021009 that is a=2 beacause a is third digit of my matric…

Answered: a. State the values of a and b. b.…

a. State the values of a and b. b. Using Roster notation, list the elements of each of the following sets i. A = ii. B = iii. C = iv. AUC = V. ANB = vi. BC : vii

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

3. Suppose
R denotes set of all real numbers
Z denotes set of all integers
z+ denotes set of all positive integers
A = {x € zt |- a <x< b}
B = {x € R|- a <x < b}
C = {x € Z|- a <x < b}
Let a be the THIRD digit and b be the LARGEST digit of your matric number.
If a = 0, change to 3, if a = 1, change to 4, if a = 2, change to 5, other values of a, remain
unchanged.
Example:
Suppose my matric number is 1950123. Then, a =5 and b = 9
a. State the values of a and b.
b. Using Roster notation, list the elements of each of the following sets
i. A =
ii. B =
iii. C =
iv. AUC =
v. ANB =
vi. BC
vii. B - A =

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