/*! 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} Q. 84 A student attempted to solve the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 84 (page 243)

A student attempted to solve the inequality x+4x-3鈮�0by multiplying both sides of the inequality by x-3to get x+4鈮�0. This led to a solution of {x鈭�x鈮�-4}. Is the student correct? Explain.

Short Answer

Expert verified

No, the student is not correct.

Step by step solution

01

Given information

The given inequality is x+4x-3鈮�0.

02

Determine whether the student is correct or not.

Multiplying both sides of inequality:

x+4x-3鈮�0

by x-3is not allowed when x<3since it swaps the 鈮�symbol into鈮�.

x鈭�[-4,3)

03

Write the conclusion

No student wasn't correct, correct solution is:{x鈭�x鈭�[-4,3)}

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 the domain of the rational function.

-4x2x-2(x+4)

x3+2x2-3x>0

If a rational function is proper, then______ is a horizontal

asymptote.

Find a rational function that might have the given graph.

Graph each rational function using transformations.

R(x)=x-4x
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

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.