/*! 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 128 If \(x\) represents a number, wr... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 128

If \(x\) represents a number, write an English sentence about the number that results in an inconsistent equation.

Short Answer

Expert verified
An example sentence could be: 'The number \(x\) is such that when it is increased by two, it equals three and at the same time when decreased by one, it equals seven.' Both equations implied in this sentence cannot be true at the same time.

Step by step solution

01

Understanding inconsistent equations

An inconsistent equation is an equation that will not have any viable solutions. Usually, inconsistent equations occur when the equation is equivalent to a false statement, such as 0=1 or 7=8.
02

Creating the sentence

Below is an example of such sentence: 'The number \(x\) is such that when it is increased by two, it equals three and at the same time when decreased by one, it equals seven.' This suggests two inconsistent equations \(x + 2 = 3\) and \(x - 1 = 7\) which cannot be solved concurrently.

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!

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

Find all values of \(x\) satisfying the given conditions. $$ \begin{aligned} &y_{1}=2 x^{2}+5 x-4, y_{2}=-x^{2}+15 x-10, \text { and } &y_{1}-y_{2}=0 \end{aligned} $$

Will help you prepare for the material covered in the next section. Use the special product \((A+B)^{2}=A^{2}+2 A B+B^{2}\) to multiply: \((\sqrt{x+4}+1)^{2}\).

The formula for converting Fahrenheit temperature, \(F,\) to Celsius temperature, \(C,\) is $$ C=\frac{5}{9}(F-32) $$ If Celsius temperature ranges from \(15^{\circ}\) to \(35^{\circ},\) inclusive, what is the range for the Fahrenheit temperature? Use interval notation to express this range.

Explaining the Concepts. Explain why \(|x|<-4\) has no solution.

In a round-robin chess tournament, each player is paired with every other player once. The formula $$ N=\frac{x^{2}-x}{2} $$ models the number of chess games, \(N,\) that must be played in a round-robin tournament with \(x\) chess players. Use this formula to solve. In a round-robin chess tournament, 21 games were played. How many players were entered in the tournament?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Pure Maths

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.