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Chapter 7: Problem 4

If \(m\) and \(n\) are each a number between \(-1\) and 0 , exclusive, what can you say about \(m n\) ?

Short Answer

Expert verified
The product \(m n\) is a positive number.

Step by step solution

01

Understand the Range

It is given that \(m\) and \(n\) are both negatives as they fall between \(-1\) and 0. They are exclusive of \(-1\), meaning they are no smaller than \(-1\), and also are exclusive of 0, meaning they are less than 0, but not equal to 0.
02

Identify the Properties of Negative Number Multiplication

The multiplication of two negative numbers yields a positive number.
03

Conclusion

As both \(m\) and \(n\) are negatives, their product \(m n\) must be a positive number.

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