/*! 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 88 Solve each absolute value inequa... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 88

Solve each absolute value inequality. $$2>|11-x|$$

Short Answer

Expert verified
The solution to the absolute value inequality is \(9 < x < 13\).

Step by step solution

01

Break the Absolute Value Inequality into Two Separate Inequalities

First, express the absolute value inequality as two separate inequalities: \(11-x < 2\) and \(11-x > -2\)
02

Solve Each Inequality

Now, solve each inequality separately.\nFor \(11-x < 2\), isolate \(x\): add \(x\) to both sides and subtract \(2\) from both sides to get \(x > 9\).\nFor \(11-x > -2\), isolate \(x\): add \(x\) to both sides and add \(2\) to both sides to get \(x < 13\).
03

Write as a Compound Inequality

Combine the two inequalities into a single compound inequality to denote the solution:\(9 < x < 13.\)

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

Each side of a square is lengthened by 2 inches. The area of this new, larger square is 36 square inches. Find the length of a side of the original square.

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$\frac{1}{p}+\frac{1}{q}=\frac{1}{f} \text { for } f$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.

In Exercises \(127-130,\) solve each equation by the method of your choice. $$ \sqrt{2} x^{2}+3 x-2 \sqrt{2}=0 $$

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$V=\frac{1}{3} B h \text { for } B$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.