By considering the set of integer lattice points in 3- D space of the form ( p,q,r ) , here, p, q and r are integers, to show this set is countable. Concept Introduction: The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

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Answer 1

Question

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

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Answer 2

Question

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

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Answer 3

Question

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

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Answer 4

Question

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

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Answer 5

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

Answer 6

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

Answer 7

Chapter 11.1, Problem 5E

Interpretation Introduction

Interpretation:

By considering the set of integer lattice points in 3- D space of the form (p,q,r), here, p, q and r are integers, to show this set is countable.

Concept Introduction:

The set is said to be a countable set, if a set X is one to one correspondence with the natural numbers otherwise set is uncountable.

Answer 8

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Answer 9

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Answer 11

Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.2 - Prob. 1E Ch. 11.2 - Prob. 2E Ch. 11.2 - Prob. 3E

Solution Summary: The author explains that the set of integer lattice points in 3- D space is one to one correspondence with the natural numbers.

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