/*! 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 76 Translate the given phrase or se... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 76

Translate the given phrase or sentence algebraically. \(h\) is no less than \(8 .\)

Short Answer

Expert verified
The inequality is \( h \geq 8 \).

Step by step solution

01

Understand the Phrase

The phrase 'no less than' indicates a relationship where one quantity is greater than or equal to another quantity.
02

Identify Variables and Values

In the given phrase, the variable is denoted by \( h \) and the value is 8.
03

Set Up the Inequality

From the phrase, 'no less than' means that \( h \) must be greater than or equal to 8. This translates to the inequality \( h \geq 8 \).

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.

Understanding Inequalities
Inequalities show the relationships between two values or expressions. Instead of stating that two quantities are exactly the same, inequalities indicate that one quantity is larger or smaller than the other. For example:
  • Greater than: represented as \( > \)
  • Less than: represented as \( < \)
  • Greater than or equal to: represented as \( \geq \)
  • Less than or equal to: represented as \( \leq \)
In the exercise, the phrase 'no less than' translates to the inequality symbol \( \geq \). This means that the variable in question is either greater than or equal to a certain number.
Introduction to Variables
Understanding variables is crucial in algebra. A variable represents an unknown value that can change or vary. It is typically denoted by letters such as \( x \), \( y \), or in this exercise, \( h \). Variables provide a way to generalize mathematical relationships and create equations or inequalities that apply to many situations. In the given exercise, the variable \( h \) helps us describe a range of possible values rather than a single solution.
Translating Phrases to Algebra
One of the foundational skills in algebra is translating verbal descriptions into mathematical expressions. This often involves identifying keywords or phrases and knowing what they represent. For example, phrases like 'no less than' or 'at least' suggest a relationship of \( \geq \), while phrases like 'no more than' or 'at most' suggest a relationship of \( \leq \).

Let's break down the exercise phrase 'no less than 8':
  • 'No less than' signals that our variable \( h \) is at least equal to or greater than the value 8.
  • Mathematically, we write this relationship as \( h \geq 8 \).
Thus, we've translated the verbal phrase into a precise algebraic inequality.

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

solve the given equation. If the equation is always true or has no solution, indicate this. $$2(y-3)-3(y-5)=5 y-5(y-2)$$

The length of a rectangle is 2 less than 3 times the width. If the width is tripled while the length is decreased by \(2,\) the new perimeter is 12 more than the original perimeter. Find the original dimensions.

Explain in words what the inequality \(2

Translate the given phrase or sentence algebraically. \(x\) is at least 5

Perform the indicated operations on the given inequality. Sketch the resulting inequality on a number line. \(-x<3 ;\) divide each side by \(-1\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

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.