/*! 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. 391 Solve each inequality, graph the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 391 (page 195)

Solve each inequality, graph the solution, and write the solution in interval notation.

34(x鈭�8)鈮�3and15(x鈭�5)鈮�3

Short Answer

Expert verified

Solution of each inequalities:

x鈮�12andx鈮�20

Graph the numbers that make both inequalities true:

The Solution in interval notation:

(-鈭�,12]

Step by step solution

01

Step 1. Given information 

Consider the inequalities

34(x鈭�8)鈮�3and15(x鈭�5)鈮�3

02

Step 2. Solve each inequality

34(x鈭�8)鈮�3x-8鈮�3脳43x-8鈮�4x鈮�4+8x鈮�12 and15(x鈭�5)鈮�3x-5鈮�3脳5x-5鈮�15x鈮�15+5x鈮�20

03

Step 3. Graph each solution 

Forx鈮�12

Forx鈮�20

04

Step 4. Graph the numbers that make both inequalities true. x≤12 and x≤20

05

Step 5. Write the solution in interval notation.

(-鈭�,12]

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

Solve the linear inequality. Graph the solution on the number line and write the solution in the interval notation.

13q<7q-29

Solve the linear equation4p-4-p+7=5p-3.

In the following exercises, use the Pythagorean theorem to find the length of the leg. Round to the nearest tenth if necessary.

The sum of four times a number and two is fourteen. Find the number.

Solve the linear equation92m-3-8=4m+7.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

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.