Chapter 3.1, Problem 3E

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8th Edition

Gilbert + 2 others

ISBN: 9781285463230

Textbook Problem

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In Exercises

The set

To determine

Whether the set

Explanation

**Given information:**

The set

**Explanation:**

Let us check that the set of all rational numbers with operation addition is a group or not by using the definition given below:

Suppose the binary operation

1.

2.

3.

4.

First condition:

Let

As the addition of rational numbers is a rational number,

Second condition:

Let

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