Call Now to Set Up Tutoring:

(888) 888-0446

Precalculus : Solve Absolute Value Inequalities

Study concepts, example questions & explanations for Precalculus

Create An Account

All Precalculus Resources

12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #841 : Pre Calculus

$4\left | \frac{x-1}{2} \right |\geq 16$

Possible Answers:

$-7\geq x\geq 18$

$-7\geq x\geq 11$

$0\geq x\geq 9$

$-7\geq x\geq 9$

$7\geq x\geq -9$

Correct answer:

$-7\geq x\geq 9$

Explanation:

To solve absolute value inequalities, you have to write it two different ways. But first, divide out the 4 on both sides so that there is just the absolute value on the left side. Then, write it normally, as you see it: $\frac{x-1}{2}\geq 4$ and then flip the side and make the right side negative: $\frac{x-1}{2}\leq -4$ . Then, solve each one. Your answers are $x\geq 9$ and $x\leq -7$ .

Report an Error

Example Question #842 : Pre Calculus

Solve the following:

$\left | x+2 \right |>6$

Possible Answers:

(4,-8)

$(-\infty,8)\cup (-4,\infty)$

(-8,4)

$(-\infty,-8)\cup (4,\infty)$

Correct answer:

$(-\infty,-8)\cup (4,\infty)$

Explanation:

To solve absolute value inequalities create two functions.

Simply remember that when solving inequalities with absolute values, you keep one the same and then flip the sign and inequality on the other.

Thus,

$x+2>6\Rightarrow x>4$

$x+2<-6\Rightarrow x<-8$

Then, you must write it in interval notation.

Thus,

$(-\infty,-8)\cup (4,\infty)$

Report an Error

View Pre-Calculus Tutors

Lilian Natalia
Certified Tutor

University of Texas Rio Grande Valley, Bachelor of Science, Mechanical Engineering. University of Texas Rio Grande Valley, Ma...

View Pre-Calculus Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

View Pre-Calculus Tutors

Nicholas
Certified Tutor

Salem State University, Bachelor of Science, GIS Technology.

All Precalculus Resources

12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Atlanta, Computer Science Tutors in Los Angeles, MCAT Tutors in San Diego, MCAT Tutors in Phoenix, LSAT Tutors in Los Angeles, SAT Tutors in Denver, Biology Tutors in Boston, GRE Tutors in Phoenix, French Tutors in Miami, English Tutors in Boston

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, SAT Courses & Classes in Washington DC, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Miami, LSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in Washington DC, GRE Courses & Classes in Phoenix, Spanish Courses & Classes in Phoenix, SSAT Courses & Classes in Phoenix

Popular Test Prep

MCAT Test Prep in Chicago, GRE Test Prep in Boston, ACT Test Prep in New York City, SAT Test Prep in New York City, GMAT Test Prep in Seattle, GMAT Test Prep in Houston, LSAT Test Prep in Seattle, SSAT Test Prep in Washington DC, SAT Test Prep in Chicago, ACT Test Prep in Los Angeles

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Precalculus : Solve Absolute Value Inequalities

Study concepts, example questions & explanations for Precalculus

All Precalculus Resources

Example Questions

Example Question #841 : Pre Calculus

Example Question #842 : Pre Calculus

All Precalculus Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: