/*! 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. 523 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 523 (page 987)

In the following exercises, solve each inequality algebraically and write any solution in interval notation:

x2-6x+8<0

Short Answer

Expert verified

The solution of the inequality is2,鈥�4.

Step by step solution

01

Step 1. Given information.

We have:

x2-6x+8<鈥�0

02

Step 2. Solve the inequality.

First, change the sign <with=and solve by quadratic formula.

x2-6x+8=鈥�0

For鈥�a鈥�quadratic鈥�equation鈥�of鈥�the鈥�form鈥�ax2+bx+c=0鈥�the鈥�solutions鈥�are鈥�x1,鈥�2=-b卤b2-4ac2aFor鈥�a=1,鈥�b=-6,鈥�c=8x1,鈥�2=--6卤-62-4路鈥�1路鈥�82路鈥�1x1,鈥�2=--6卤鈥�22路鈥�1x1=--6+22路鈥�1,鈥�x2=--6-22路鈥�1x=4,鈥�x=2

x鈭�2,4

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

Two gardeners can do the weekly yard maintenance in 8 minutes if they work together. The older gardener takes 12 minutes more than the younger gardener to finish the job by himself. How long does it take for each gardener to do the weekly yard maintainence individually?

In the following exercises, solve by using the Quadratic Formula:r2-8r=33

In the following exercises, solve by using the Quadratic Formula.
13n2+n=-12

In the following exercises, solve by using the Quadratic Formula.
25q2+30q+9=0

The product of two consecutive odd integers is 99. Find the integers.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.