/*! 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} Q41. Solve each equation. Then graph ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q41. (page 106)

Solve each equation. Then graph the solution set.

4鈭�3q=10

Short Answer

Expert verified

The equation 4鈭�3q=10has solution set as q=鈭�2,鈥夆赌�2and the graph of the solution set is:

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b鈮�0, thena=b or a=鈭�b.

02

Step-2. Formulate case 1 when 4−3q=10.

Simplify the expression for q.

4鈭�3q鈭�4=10鈭�4鈭�3q=6鈭�3q3=63鈭�q脳鈭�1=2脳鈭�1q=鈭�2

03

Step-3. Formulate case 2 when 4−3−q=10.

Simplify the expression for q.

4鈭�3鈭�q鈭�4=10鈭�43q=63q3=63q=2

04

Step-4. Plot the graph of the solution set.

From case 1 and case 2, q=鈭�2,鈥夆赌�2. Plot these values on the number line.

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

Explain why the multiplication property of equality and the division property of equality can be considered the same property. Which one do you think is easier to use?

Translate each sentence into an equation.

Three-fourths of w plus 5 are one-half of w increased by nine.

Translate the following equation into a sentence:

7m鈭�q=23

Solve each equation. Check your solution.

y5鈭�6=8

Translate the following sentence into an equation:

鈥淭wo times z is equal to two times the sum of v and x鈥�.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

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.