/*! 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 60 Solve each inequality and graph ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 60

Solve each inequality and graph the solution set on a number line. \(7

Short Answer

Expert verified
The solution set for the given inequality is \(2<x<6\) or in interval notation, (2,6).

Step by step solution

01

Isolate the variable

Begin by subtracting 5 from all three parts of the inequality to isolate the variable x. This gives: \(7-5 < x+5-5 < 11-5\)\nSo, the inequality simplifies to \(2<x<6\)
02

Interpret the Solution

The solution \(2<x<6\) means that x is greater than 2 and less than 6. This can also be written in interval notation as (2,6).
03

Graph the Solution on a Number Line

Draw a number line. Plot points for 2 and 6. Since x is greater than 2 but not equal to it, draw an open circle at 2. As x is less than 6 but not equal to it, again draw an open circle at 6. Draw a line connecting these two points. This represents all numbers between 2 and 6.

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 each equation by the method of your choice. \(x(x+1)=4-(x+2)(x+2)\)

Solve each equation by the method of your choice. \((2 x-6)(x+2)=5(x-1)-12\)

Solve the equations in Exercises 53-72 using the quadratic formula. \(x^{2}+8 x+15=0\)

Use FOIL to find the products. \((3 x-7)(4 x-5)\)

In Exercises 73-80, solve each equation by the method of your choice. \(\frac{3 x^{2}}{4}-\frac{5 x}{2}-2=0\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics 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.