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Chapter 7: Problem 3

If \(x<0\), which of the following is true? C \(x^3\) is positive. ( \(x^3\) is negative. \(x^2\) could be either positive or negative. I don't know.

Short Answer

Expert verified
The correct answer is \(x^3\) is negative.

Step by step solution

01

Analyzing the Choices

Looking at all the given choices. Evaluating each situation.
02

Checking the Cube of Negative Number

In algebra, when any negative number is raised to the power of an odd number. The result will also be negative. In this case, \(x^3\) will also be negative for \(x<0\).
03

Checking the Square of Negative Number

In algebra, when a negative number is squared, or raised to any other even power, the result will be positive. In this case, \(x^2\) will be positive for \(x<0\).

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Most popular questions from this chapter

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