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How does the set of integers differ from the set of whole numbers?

Short Answer

Expert verified
The set of integers includes both positive and negative numbers including zero whereas whole numbers are just non-negative integers including zero.

Step by step solution

01

Understanding the Set of Integers

The set of integers includes all whole numbers, both positive and negative, including zero. This set is often represented as: \( \dots, -3, -2, -1, 0, 1, 2, 3, \dots \)
02

Understanding the Set of Whole Numbers

The set of whole numbers only includes non-negative integers starting from zero. This set is often represented as: \(0, 1, 2, 3, \dots\)
03

Identify the Difference

The main difference between the set of integers and the set of whole numbers is that whole numbers don't include negative numbers. While integers include whole numbers, the opposite isn't true.

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