/*! 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 87 Use an inequality symbol to writ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 87

Use an inequality symbol to write each statement. See Example 8 . \(5 x+3\) is not equal to 0

Short Answer

Expert verified
5x + 3 eq 0

Step by step solution

01

Identify the Variables

The given expression is: \(5x + 3\). The variable in the expression is \(x\).
02

Understanding 'Not Equal To'

'Not equal to' is represented by the symbol \(eq\).
03

Combine the Expression and Inequality Symbol

To express '5x + 3 is not equal to 0', we use the inequality symbol \(eq\) between the expression and 0. So, the inequality is: \(5x + 3 eq 0\)

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.

Inequality Symbols
In mathematics, inequality symbols are essential tools that help us compare different values. Unlike the equality symbol (\(=\)), which shows that two expressions are the same, inequality symbols show relationships that are not equal. The most common inequality symbols are:

  • \(eq\): not equal to
  • \(<\): less than
  • \(>\): greater than
  • \(\leq\): less than or equal to
  • \(\geq\): greater than or equal to
Each of these symbols has a specific meaning and is used to express different types of inequalities. Using these symbols correctly in mathematical expressions is crucial for conveying accurate information about the relationships between values.
Not Equal To
The 'not equal to' symbol \(eq\) is used to show that two values or expressions are different. It is the opposite of the equals symbol (\(=\)). For example, if we say \(x eq 5\), it means that \(x\) can be any number except 5.

In the given exercise, we need to express that \(5x + 3\) is not equal to 0. We do this by placing the 'not equal to' symbol between the expression \(5x + 3\) and the number 0. Therefore, the correct inequality is \(5x + 3 eq 0\). This tells us that no matter the value of \(x\), the expression \(5x + 3\) does not equal 0.
Expressions with Variables
An expression with variables consists of numbers, variables (letters that represent unknown values), and arithmetic operations such as addition, subtraction, multiplication, and division. In the exercise, the expression \(5x + 3\) includes a variable \(x\), a coefficient 5 (the number multiplying the variable), and a constant term 3.

Here is a breakdown:

  • \(5x\): This term means 5 times the variable \(x\).
  • \(+ 3\): This is a constant added to the term \(5x\).
Expressions with variables are used extensively in algebra to describe mathematical relationships and to solve equations or inequalities involving unknown values. By understanding how to construct and deconstruct these expressions, we can more easily manipulate and solve them.

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

Exercises \(91-116\) provide more practice on operations with fractions and decimals. Perform the indicated operations. $$-\frac{7}{30}+\frac{2}{45}-\frac{3}{10}$$

Exercises \(91-116\) provide more practice on operations with fractions and decimals. Perform the indicated operations. $$\frac{-\frac{8}{9}}{2}$$

Graph the elements of each set on a number line. $$ \left\\{-\frac{6}{5},-\frac{1}{4}, 0, \frac{5}{6}, \frac{13}{4}, 5.2, \frac{11}{2}\right\\} $$

The distributive property can be used to mentally perform calculations. For example, calcu- late \(38 \cdot 17+38 \cdot 3\) as follows. \(38 \cdot 17+38 \cdot 3=38(17+3) \quad\) Distributive property \(=38(20)\) Add inside the parentheses. \(=760\) Multiply. Use the distributive property to calculate each value mentally. $$ 96 \cdot 19+4 \cdot 19 $$

Which elements of each set are (a) natural numbers. (b) whole numbers, (c) integers, (d) rational numbers, (e) irrational numbers, (f) real numbers? See Example 3. $$ \left\\{-8,-\sqrt{5},-0.6,0, \frac{3}{4}, \sqrt{3}, \pi, 5, \frac{13}{2}, 17, \frac{40}{2}\right\\} $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

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.