Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone. _________________

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

Show Tags

24 Jun 2013, 05:06

Bunuel wrote:

SOLUTION

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

\(1< 5n +5 < 25\) --> subtract 5 from each part: \(-4<5n<20\) --> divide by 5 each part: \(-\frac{4}{5}<n<4\). In this range there are 4 integers: 0, 1, 2, and 3.

Answer: B.

why is it not -1, 0, 1, 2, 3 ?

Because -1 is LESS than -4/5, and n must be more than -4/5. _________________

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

Show Tags

05 Sep 2013, 23:18

1

This post received KUDOS

A table showing values of 5n+1 for various values of n. Just need to note the constraint that 1<5n+5<25 (valid values are in green, invalid in red) and count how many valid numbers there are for n.

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

Show Tags

08 May 2016, 14:34

The inequality given is 1 < 5n+5 < 25 it can further reduced to -4 < 5n < 20 finally -4/5 < n < 4 So can only take 5 integer values i.e. 0,1,2,3 Correct answer - B

Re: How many integers n are there such that 1< 5n +5 < 25? [#permalink]

Show Tags

09 May 2016, 10:57

1

This post received KUDOS

Bunuel wrote:

How many integers n are there such that 1< 5n +5 < 25?

(A) Five (B) Four (C) Three (D) Two (E) One

Practice Questions Question: 50 Page: 158 Difficulty: 600

Solution:

1< 5n + 5 < 25 is a compound inequality. Compound inequalities often need to be manipulated, and we can use the rules of algebra that we already know, to do this. Just as with equations, whatever we do to one part of a compound inequality, we must do to all parts of the compound inequality. Let’s first isolate n within the inequality.

1< 5n + 5 < 25

We first subtract 5 from all three parts of the inequality, and we obtain:

-4 < 5n < 20

Next, we divide both sides of the inequality by 5 and we get:

-4/5 < n < 4

The integers that are greater than -4/5 and less than 4 are 0, 1, 2, and 3. Thus, there are 4 integers that satisfy the inequality 1 < 5n + 5 < 25.

The answer is B. _________________

Jeffrey Miller Jeffrey Miller Head of GMAT Instruction

This is the kickoff for my 2016-2017 application season. After a summer of introspect and debate I have decided to relaunch my b-school application journey. Why would anyone want...

Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...

“Oh! Looks like your passport expires soon” – these were the first words at the airport in London I remember last Friday. Shocked that I might not be...