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Chapter 0: Problem 149

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Some whole numbers are not integers.

Short Answer

Expert verified
The statement 'Some whole numbers are not integers' is false. The correct statement should be 'All whole numbers are integers'.

Step by step solution

01

Understanding definitions

Whole numbers are defined as non-negative integers. This means they include all positive integers and zero. Integers, on the other hand, are a set of numbers which include all whole numbers plus their negatives.
02

Evaluating the statement

The statement in question is 'Some whole numbers are not integers'. Since it's already established that whole numbers are a subset of integers, this statement does not hold up because there isn't a whole number that isn't an integer.
03

Making necessary changes to the statement

In order to make the statement true, it can be rephrased as 'All whole numbers are integers', which is an accurate representation of the relationship between integers and whole numbers.

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