/*! 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 594. In the following exercise, solve... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q 594. (page 219)

In the following exercise, solve each inequality, graph the solution, and write the solution in interval notation.

4x-2鈮�4and7x-1>-8

Short Answer

Expert verified

Graph is as follows:

Solution in interval notation is-1,1.5

Step by step solution

01

Step 1. Given information

Inequalities are4x-2鈮�4and7x-1>-8

02

Step 2. Solution of the compound inequalities.

Consider the inequality 4x-2鈮�4

4x-2鈮�44x鈮�6x鈮�32x鈮�1.5

Consider the inequality 7x-1>-8

7x-1>-87x>-7x>-1

Numbers that satisfying both the inequalitiesx鈮�1.5,x>-1arerole="math" localid="1644388297044" -1<x鈮�1.5

03

Step 3. Graph of the solution

Solution is -1<x鈮�1.5

Graph is as follows:

Solution in interval notation is(-1,1.5]

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

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

223m-4=82m+9

Solve the formula 4x+7y=9fory.

Solve the below equation with fraction coefficients.

56y-23=-32

The length of the rectangle is three meters less than twice the width. The perimeter of a rectangle is 36 meters. Find the dimensions of the rectangle.

One side of a triangle is three times the smallest side. The third side is three feet more than the shortest side. The perimeter is 13 feet. Find the lengths of all three sides.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Calculus

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.