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Chapter 0: Problem 150

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

Short Answer

Expert verified
The statement 'Some rational numbers are not positive' is true.

Step by step solution

01

Understanding Rational Numbers

Rational numbers are any numbers that can be represented as the fraction \(\frac{a}{b}\), where a and b are both integers and b is not equal to zero.
02

Determining Rational Number Properties

Rational numbers include both positive and negative numbers, as well as zero. This is because the numerator a in the fraction \(\frac{a}{b}\) can be either positive, negative or zero while the denominator b, remaining positive (as it cannot be zero). This results in variations of positive, negative and zero rational numbers.
03

Evaluating the Statement

The statement to evaluate is: 'Some rational numbers are not positive.' Given our understanding of rational numbers, we know that some rational numbers can indeed be negative or zero, thus the statement is true.

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Most popular questions from this chapter

Exercises \(142-144\) will help you prepare for the material covered in the next section. Simplify and express the answer in descending powers of \(x\) : $$ 2 x\left(x^{2}+4 x+5\right)+3\left(x^{2}+4 x+5\right) $$

If you are given a quadratic equation, how do you determine which method to use to solve it?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I prefer interval notation over set-builder notation because it takes less space to write solution sets.

What is the discriminant and what information does it provide about a quadratic equation?

Explain how to simplify a rational expression.
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