Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Systems of Inequalities

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #71 : Systems Of Inequalities

Solve the inequality: x-6>37 $\displaystyle x-6>37$

Possible Answers:

x>43 $\displaystyle x>43$

x<31 $\displaystyle x< 31$

x<43 $\displaystyle x< 43$

x>31 $\displaystyle x>31$

$x<\frac{37}{6}$ $\displaystyle x< \frac{37}{6}$

Correct answer:

x>43 $\displaystyle x>43$

Explanation:

In order to solve the inequality, we will need to add six on both sides.

$\displaystyle x-6+6>37+6$

Simplify both sides of the equation.

The answer is: x>43 $\displaystyle x>43$

Report an Error

Example Question #72 : Systems Of Inequalities

Solve the inequality: x-23>47 $\displaystyle x-23>47$

Possible Answers:

x>70 $\displaystyle x>70$

x<24 $\displaystyle x< 24$

x>23 $\displaystyle x>23$

x<70 $\displaystyle x< 70$

x>24 $\displaystyle x>24$

Correct answer:

x>70 $\displaystyle x>70$

Explanation:

In order to solve for x, add 23 on both sides of the equation.

$\displaystyle x-23+23>47+23$

Simplify both sides.

The answer is: x>70 $\displaystyle x>70$

Report an Error

Example Question #23 : How To Find The Solution To An Inequality With Addition

Solve the inequality: x-12>9 $\displaystyle x-12>9$

Possible Answers:

x<21 $\displaystyle x< 21$

x>21 $\displaystyle x>21$

x>3 $\displaystyle x>3$

x>-3 $\displaystyle x>-3$

x<-21 $\displaystyle x< -21$

Correct answer:

x>21 $\displaystyle x>21$

Explanation:

In order to solve this inequality, add 12 on both sides.

$\displaystyle x-12+12>9+12$

Simplify both sides of the equation.

x>21 $\displaystyle x>21$

The answer is: x>21 $\displaystyle x>21$

Report an Error

Example Question #73 : Systems Of Inequalities

Solve the inequality: x-9>36 $\displaystyle x-9>36$

Possible Answers:

x>45 $\displaystyle x>45$

x>27 $\displaystyle x>27$

x<45 $\displaystyle x< 45$

x<-45 $\displaystyle x< -45$

x>-45 $\displaystyle x>-45$

Correct answer:

x>45 $\displaystyle x>45$

Explanation:

To isolate the x variable, add nine on both sides of the equation.

$\displaystyle x-9+9>36+9$

Simplify both sides of the equation.

x>45 $\displaystyle x>45$

The answer is: x>45 $\displaystyle x>45$

Report an Error

Example Question #75 : Systems Of Inequalities

Solve the inequality: x-9>-44 $\displaystyle x-9>-44$

Possible Answers:

x>35 $\displaystyle x>35$

$x\leq-35$ $\displaystyle x\leq-35$

x<35 $\displaystyle x< 35$

x>-35 $\displaystyle x>-35$

x<-35 $\displaystyle x< -35$

Correct answer:

x>-35 $\displaystyle x>-35$

Explanation:

In order to solve this inequality, add nine on both sides.

$\displaystyle x-9+9>-44+9$

Simplify both sides of the inequality.

x>-35 $\displaystyle x>-35$

The answer is: x>-35 $\displaystyle x>-35$

Report an Error

Example Question #73 : Systems Of Inequalities

Solve the inequality: 2x-3>4 $\displaystyle 2x-3>4$

Possible Answers:

$x\geq\frac{1}{2}$ $\displaystyle x\geq\frac{1}{2}$

$x<\frac{7}{2}$ $\displaystyle x< \frac{7}{2}$

$x\geq\frac{7}{2}$ $\displaystyle x\geq\frac{7}{2}$

$x>\frac{1}{2}$ $\displaystyle x>\frac{1}{2}$

$x>\frac{7}{2}$ $\displaystyle x>\frac{7}{2}$

Correct answer:

$x>\frac{7}{2}$ $\displaystyle x>\frac{7}{2}$

Explanation:

Add three on both sides.

$\displaystyle 2x-3+3>4+3$

Simplify both sides.

2x>7 $\displaystyle 2x>7$

Divide by two on both sides.

$\frac{2x}{2}>\frac{7}{2}$ $\displaystyle \frac{2x}{2}>\frac{7}{2}$

Simplify both sides.

The answer is: $x>\frac{7}{2}$ $\displaystyle x>\frac{7}{2}$

Report an Error

Example Question #74 : Systems Of Inequalities

Solve the inequality: $x-9\leq 8$ $\displaystyle x-9\leq 8$

Possible Answers:

$x\leq -1$ $\displaystyle x\leq -1$

x>17 $\displaystyle x>17$

$x\geq 17$ $\displaystyle x\geq 17$

x<17 $\displaystyle x< 17$

$x\leq 17$ $\displaystyle x\leq 17$

Correct answer:

$x\leq 17$ $\displaystyle x\leq 17$

Explanation:

To solve this inequality, simply add nine on both sides.

$x-9+9\leq 8+9$ $\displaystyle x-9+9\leq 8+9$

Simplify both sides of the inequality.

$x\leq 17$ $\displaystyle x\leq 17$

The answer is: $x\leq 17$ $\displaystyle x\leq 17$

Report an Error

Example Question #23 : How To Find The Solution To An Inequality With Addition

Solve the inequality: x-18>36 $\displaystyle x-18>36$

Possible Answers:

x<18 $\displaystyle x< 18$

$x\leq54$ $\displaystyle x\leq54$

x>18 $\displaystyle x>18$

x>54 $\displaystyle x>54$

x<54 $\displaystyle x< 54$

Correct answer:

x>54 $\displaystyle x>54$

Explanation:

In order to solve this inequality, add 18 on both sides.

$\displaystyle x-18+18>36+18$

Simplify both sides.

x>54 $\displaystyle x>54$

The answer is: x>54 $\displaystyle x>54$

Report an Error

Example Question #24 : How To Find The Solution To An Inequality With Addition

Solve the inequality: x-13<-14 $\displaystyle x-13< -14$

Possible Answers:

x<-27 $\displaystyle x< -27$

$x\geq-1$ $\displaystyle x\geq-1$

x>27 $\displaystyle x>27$

x<-1 $\displaystyle x< -1$

x>-1 $\displaystyle x>-1$

Correct answer:

x<-1 $\displaystyle x< -1$

Explanation:

Add $\displaystyle 13$ on both sides.

x-13+13<-14+13 $\displaystyle x-13+13< -14+13$

Simplify both sides. The sign does not change.

The answer is: x<-1 $\displaystyle x< -1$

Report an Error

Example Question #75 : Systems Of Inequalities

Solve the inequality: x-9>30 $\displaystyle x-9>30$

Possible Answers:

x<39 $\displaystyle x< 39$

$x\geq39$ $\displaystyle x\geq39$

$x\leq-39$ $\displaystyle x\leq-39$

$x\leq39$ $\displaystyle x\leq39$

x>39 $\displaystyle x>39$

Correct answer:

x>39 $\displaystyle x>39$

Explanation:

In order to find the solution to this inequality, add nine on both sides.

$\displaystyle x-9+9>30+9$

Simplify both sides. There is no need to change the direction of the sign.

The answer is: x>39 $\displaystyle x>39$

Report an Error

View Algebra Tutors

Melody
Certified Tutor

George Fox University, Bachelor of Science, Biology, General.

View Algebra Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View Algebra Tutors

Ronan
Certified Tutor

University of Washington, Bachelor of Science, Mathematics.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in Los Angeles, SSAT Tutors in San Diego, English Tutors in Dallas Fort Worth, Computer Science Tutors in Dallas Fort Worth, English Tutors in Philadelphia, ISEE Tutors in Boston, ACT Tutors in New York City, English Tutors in New York City, Reading Tutors in Houston, English Tutors in Miami

Popular Courses & Classes

LSAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Denver, SSAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Seattle, GRE Courses & Classes in San Diego, LSAT Courses & Classes in Phoenix, ISEE Courses & Classes in Houston, Spanish Courses & Classes in Miami, ACT Courses & Classes in Philadelphia

Popular Test Prep

LSAT Test Prep in Boston, LSAT Test Prep in San Diego, SSAT Test Prep in San Diego, ISEE Test Prep in San Diego, ACT Test Prep in Philadelphia, GRE Test Prep in Atlanta, SSAT Test Prep in Los Angeles, ISEE Test Prep in Chicago, ISEE Test Prep in Houston, GMAT Test Prep in Boston

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

Algebra 1 : Systems of Inequalities

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #71 : Systems Of Inequalities

Example Question #72 : Systems Of Inequalities

Example Question #23 : How To Find The Solution To An Inequality With Addition

Example Question #73 : Systems Of Inequalities

Example Question #75 : Systems Of Inequalities

Example Question #73 : Systems Of Inequalities

Example Question #74 : Systems Of Inequalities

Example Question #23 : How To Find The Solution To An Inequality With Addition

Example Question #24 : How To Find The Solution To An Inequality With Addition

Example Question #75 : Systems Of Inequalities

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: