/*! 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 78 Write each statement in words an... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 78

Write each statement in words and decide whether it is true or false. $$ 8<12 $$

Short Answer

Expert verified
'8 is less than 12' is true.

Step by step solution

01

- Identify the mathematical symbols

The inequality symbol is '<', which means 'less than'. The numbers involved are 8 and 12.
02

- Translate the mathematical statement into words

The statement '8 < 12' translates to '8 is less than 12'.
03

- Evaluate the statement

Analyze whether the statement is true or false. Since 8 is indeed less than 12, the statement is true.

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.

Mathematical Symbols
Mathematical symbols are the language of mathematics. They help us express complex ideas in a concise way. In this problem, the symbol '<' is used. It means 'less than'. Using symbols makes it easier to understand relationships between numbers quickly. For instance, the inequality 8 < 12 tells us that the number 8 is smaller than the number 12. Getting familiar with these symbols is important. It helps you read and write mathematical expressions with ease. Each symbol has a specific meaning. Recognizing them helps you solve problems accurately.
Translating Inequalities
Translating inequalities involves converting mathematical statements into words. This is important because it helps us understand what the symbols mean. In our exercise, we have the inequality 8 < 12. When we translate this, we simply say '8 is less than 12'. Here are some tips:
  • Identify the numbers and symbols.

  • Understand the meaning of the symbols used.

  • Combine them into a clear, plain-language sentence.

    • For example, translating the inequality 5 > 3 into words would be '5 is greater than 3'. This step ensures that we grasp the concept behind the symbols. This makes it easier to decide if the statement is true or false.
Evaluating Inequalities
Evaluating inequalities means to determine if the statement is true or false. This involves comparing the two numbers involved. In the case of 8 < 12, we check if 8 is actually less than 12. Seeing that 8 is indeed smaller than 12, the statement is true. Here are simple steps to evaluate:
  • Translate the inequality into words if needed.

  • Compare the numbers involved.

  • Decide if the statement matches the meaning of the inequality symbol.

    • Let's practice with another example. Suppose we have 15 > 20. When we translate, it says '15 is greater than 20'. Comparing the two numbers, we know 15 is not greater than 20, so the statement is false. By following these steps, evaluating inequalities becomes straightforward and clear.

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

Perform each indicated operation. $$ \left(-\frac{1}{2}+0.25\right)-\left(-\frac{3}{4}+0.75\right) $$

Perform each indicated operation. $$ |-8-2|-|-9-3| $$

Decide whether each statement is true or false. \(|-12|<|-20|\)

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(23,18,13,-4,\) and \(-8\)

Solve each problem. In \(2000,\) the U.S. federal budget had a surplus of \(\$ 236\) billion. In \(2008,\) the federal budget had a deficit of \(\$ 455\) billion. Find the difference between the 2008 and the 2000 amounts.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Geometry

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.