We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to find the solution to an inequality with addition

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 #1 : How To Find The Solution To An Inequality With Addition

Solve this inequality:

5x -2 < 8 - x

Possible Answers:

$x < \frac{7}{3}$

$x < \frac{5}{2}$

$x > \frac{5}{3}$

$x < \frac{5}{3}$

$x < \frac{3}{2}$

Correct answer:

$x < \frac{5}{3}$

Explanation:

First, add to both sides:

5x -2 +x < 8 - x + x , or

6x -2 < 8 .

Then, add 2 to both sides:

6x - 2 + 2 < 8 + 2 , or

6x < 10

Finally, divide both sides by 6 to get the answer:

$x < \frac{10}{6}$

which simplifies to:

$x < \frac{5}{3}$

Report an Error

Example Question #1 : How To Find The Solution To An Inequality With Addition

Solve for :

x+3>2x-9

Possible Answers:

x<6

x>6

x>12

None of the other answers

x<12

Correct answer:

x<12

Explanation:

To solve the inequality, simply move the 's to one side and the integers to the other (i.e. subtract from both sides and add 9 to both sides). This gives you x<12 .

Report an Error

Example Question #3 : How To Find The Solution To An Inequality With Addition

Solve for :

x+5>3x-3

Possible Answers:

x>4

x<1

x<2

x<4

x>1

Correct answer:

x<4

Explanation:

Subtracting and adding 3 to both sides of the equation of x+5>3x-3 will give you 8>2x . Divide both sides by 2 to get x<4 .

Report an Error

Example Question #4 : How To Find The Solution To An Inequality With Addition

Which value of is in the solution set of the inequality 2x+2>-x+17 ?

Possible Answers:

Correct answer:

Explanation:

Add and subtract 2 from both sides of 2x+2>-x+17 to get 3x>15 . Then, divide both sides by 3 to get a solution of x>5 . The only answer choice that is greater than 5 is 6.

Report an Error

Example Question #5 : How To Find The Solution To An Inequality With Addition

Find the solution set for :

$3.2 \geq -x + 0.6 > -5.1$

Possible Answers:

[-2.6, 5.7)

[-5.7, -2.6)

(-5.7, 2.6]

(-5.7, -2.6]

[2.6, 5.7)

Correct answer:

[-2.6, 5.7)

Explanation:

$3.2 \geq -x + 0.6 > -5.1$

$3.2- 0.6 \geq -x + 0.6 - 0.6 > -5.1 - 0.6$

$2.6 \geq -x > -5.7$

$2.6 \cdot (-1 )\leq -x \cdot (-1 )< -5.7 \cdot (-1 )$

Note the switch in inequality symbols when the numbers are multiplied by a negative number.

$-2.6 \leq x < 5.7$

or, in interval notation, [-2.6, 5.7)

Report an Error

Example Question #2 : How To Find The Solution To An Inequality With Addition

Solve the inequality:

3+x-5<2

Possible Answers:

x<4

x<0

No solution

x<10

x<-6

Correct answer:

x<4

Explanation:

Combine like-terms on the left side of the inequality: x-2<2 . Next, isolate the variable: $x-2 \boldsymbol{+2} <2 \boldsymbol{+2}$ .

Therefore the answer is x<4 .

Report an Error

Example Question #2 : How To Find The Solution To An Inequality With Addition

Solve:

$\small x+2\geq 7$

Possible Answers:

None of the other answers are correct.

$\small x> 5$

$\small x\geq 5$

$\small x\leq 9$

$\small x< 9$

Correct answer:

$\small x\geq 5$

Explanation:

Subtract 2 from each side:

$\small x+2-2\geq 7-2$

$\small x\geq 5$

Report an Error

Example Question #3 : How To Find The Solution To An Inequality With Addition

Solve for :

2x-4 >7

Possible Answers:

x>3.5

x>11

x>5.5

x>22

x>1.5

Correct answer:

x>5.5

Explanation:

This inequality can be solved just like an equation.

Add 4 to both sides:

2x > 11

Then divide by 2:

x > 11/2 = 5.5

Report an Error

Example Question #6 : How To Find The Solution To An Inequality With Addition

Solve the inequality:

$\small 15x - 4 \le 2x + 8 +x$

Possible Answers:

$\small x \le \frac{4}{5}$

$\small x \le 0$

$\small x \le \frac{11}{14}$

$\small x \le \frac{6}{7}$

$\small x \le1$

Correct answer:

$\small x \le1$

Explanation:

First, combine like terms on a single side of the inequality. On the right side of the inequality, combine the terms to obtain $\small 15x - 4 \le 3x +8$ .

Next, we want to get all the variables on the left side of the inequality and all of the constants on the right side of the inequality. Add 4 to both sides and subtract from both sides to get $\small 12x \le 12$ .

Finally, to isolate the variable, divide both sides by 12 to produce the final answer, $\small x \le1$ .

Report an Error

Example Question #57 : Systems Of Inequalities

Solve: x-3<50

Possible Answers:

x<47

x<53

x> 53

$x\leq 53$

$x\leq 47$

Correct answer:

x<53

Explanation:

To solve x-3<50 , isolate the variable by adding three on both sides.

x-3+(3)<50+(3)

The correct answer is: x<53

Report an Error

View Algebra Tutors

Andrea
Certified Tutor

Eastern Michigan University, Bachelor of Science, Economics. Arizona State University, Masters in Education, Education.

View Algebra Tutors

Joan
Certified Tutor

University of California-Los Angeles, Bachelor in Arts, Mathematics.

View Algebra Tutors

Ulises
Certified Tutor

Arizona State University, Bachelor in Arts, History.

All Algebra 1 Resources

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

Popular Subjects

ISEE Tutors in Dallas Fort Worth, ISEE Tutors in Boston, GRE Tutors in San Francisco-Bay Area, GRE Tutors in Miami, SSAT Tutors in Dallas Fort Worth, Reading Tutors in Seattle, English Tutors in Washington DC, MCAT Tutors in New York City, Algebra Tutors in Houston, SSAT Tutors in Houston

Popular Courses & Classes

GMAT Courses & Classes in Seattle, LSAT Courses & Classes in San Diego, SSAT Courses & Classes in Boston, SAT Courses & Classes in Los Angeles, SSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Atlanta, ISEE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Denver

Popular Test Prep

MCAT Test Prep in Washington DC, SSAT Test Prep in Boston, SAT Test Prep in Phoenix, GMAT Test Prep in Miami, GMAT Test Prep in Denver, ACT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Houston, SSAT Test Prep in Seattle, ISEE Test Prep in Washington DC, GRE Test Prep in Seattle

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 : How to find the solution to an inequality with addition

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : How To Find The Solution To An Inequality With Addition

Example Question #1 : How To Find The Solution To An Inequality With Addition

Example Question #3 : How To Find The Solution To An Inequality With Addition

Example Question #4 : How To Find The Solution To An Inequality With Addition

Example Question #5 : How To Find The Solution To An Inequality With Addition

Example Question #2 : How To Find The Solution To An Inequality With Addition

Example Question #2 : How To Find The Solution To An Inequality With Addition

Example Question #3 : How To Find The Solution To An Inequality With Addition

Example Question #6 : How To Find The Solution To An Inequality With Addition

Example Question #57 : 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: