/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 133 Write an inequality representing... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 133

Write an inequality representing the given statement. \(b\) is positive.

Short Answer

Expert verified
The inequality is \( b > 0 \).

Step by step solution

01

Understand the Given Statement

The statement says that the variable 'b' is positive. This means that 'b' is greater than zero.
02

Write the Inequality

To write the inequality, simply express that 'b' is greater than zero. In mathematical terms, this is written as: \( b > 0 \)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Positive Numbers
Positive numbers are numbers greater than zero. They include all the numbers you count, like 1, 2, 3, and so on. They are very different from negative numbers, which are less than zero.

Positive numbers can be whole numbers (integers), fractions, or decimals. For example:
  • Whole numbers: 5, 10, 32
  • Fractions: 3/4, 1/2
  • Decimals: 0.5, 2.75
If a number is described as positive, it is always more than zero. This is crucial when writing and interpreting inequalities, as it helps us understand the range and limitations of the variable.
Writing Inequalities
An inequality compares two values, showing if one is less than, greater than, or sometimes equal to another. In inequalities, we use symbols to show these comparisons.
  • '<': less than
  • '>': greater than
  • '鈮�': less than or equal to
  • '鈮�': greater than or equal to
When the statement says 'b is positive,' we understand that 'b' is greater than zero. In mathematical language, we write this as: \( b > 0 \). This inequality tells us that 'b' must be any number that is not zero but is more than zero. Inequalities can describe many different situations in algebra and help us solve problems where solutions range over many possible values.
Mathematical Expressions
Mathematical expressions are combinations of numbers, variables, and operations. They represent a value or the relationship between values. Expressions do not have an equality sign, unlike equations.

In the context of inequalities, expressions involve symbols like '<' or '>'. For example, an expression like \( b + 3 > 5 \) shows that the variable 'b' plus three must be more than five.

Here鈥檚 a breakdown:
  • 'b': A variable that represents an unknown number.
  • '+ 3': An operation involving addition.
  • '> 5': Indicates that the result of 'b + 3' must be greater than 5.
When you create expressions, you鈥檙e essentially setting up a condition that needs to be met. This helps in solving problems and understanding the relationships between different quantities.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

On a piano, the note \(\mathrm{A} 440\) (located above Middle \(\mathrm{C}\) ) has a frequency of \(440 \mathrm{~Hz}\). Using the method of equal temperament, a piano tuner can determine the frequency (in \(\mathrm{Hz}\) ) of a note \(n\) keys above or below \(A 440\) by the formula \(f=440 \cdot 2^{n / 12}\) where \(n\) is an integer. a. Use \(n=1,2,\) and 3 to determine the frequencies of the next three notes above \(\mathrm{A} 440 .\) Round to 1 decimal place. b. Determine the frequency of Middle \(\mathrm{C}\) if Middle \(\mathrm{C}\) is located nine notes below A440.

Under selected conditions, a sedan gets 22 mpg in city driving and 32 mpg for highway driving. The model \(G=\frac{1}{22} c+\frac{1}{32} h\) represents the amount of gasoline used (in gal) for \(c\) miles driven in the city and \(h\) miles driven on the highway. Determine the amount of gas required to drive \(220 \mathrm{mi}\) in the city and \(512 \mathrm{mi}\) on the highway.

The expression \(a^{m / n}\) can be written in radical notation as _________ provided that \(\sqrt[n]{a}\) is a real number.

The statement \(x

Explain why scientific notation is used.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.