Q2. If A is an uncountable set and B is a countable set, then we can say about the set A/B. 1. countable. 2. Finite, countable, or uncountable. 3. Empty. 4. Countable. 5. Finite. 6. Countable or uncountable. 7. Uncountable. Q3. Prove that N x N is countable.

Q2. If A is an uncountable set and B is a countable set, then we can say about the set A/B. 1. countable. 2. Finite, countable, or uncountable. 3. Empty. 4. Countable. 5. Finite. 6. Countable or uncountable. 7. Uncountable. Q3. Prove that N x N is countable.

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

Q2. If A is an uncountable set and B is a
countable set, then we can say about the set
A/B.
1. countable.
2. Finite, countable, or uncountable.
3. Empty.
4. Countable.
5. Finite.
6. Countable or uncountable.
7. Uncountable.
Q3. Prove that N x N is countable.

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