GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Mar 2019, 13:04

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Which of the options must be true if x satisfies the 2 inequalities gi

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Manager
Manager
User avatar
G
Joined: 25 Dec 2018
Posts: 131
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
GPA: 3.4
WE: Engineering (Consulting)
Which of the options must be true if x satisfies the 2 inequalities gi  [#permalink]

Show Tags

New post 05 Mar 2019, 07:16
1
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

33% (02:08) correct 67% (01:46) wrong based on 18 sessions

HideShow timer Statistics

Which of the options must be true if x satisfies the 2 inequalities given below?

((5x−1)/(x+3))<1 and |2x − 5| ≤ 5?

x < 0
x > 0
x < 2
x > 2
None of the above
Intern
Intern
avatar
B
Joined: 26 Aug 2018
Posts: 1
Re: Which of the options must be true if x satisfies the 2 inequalities gi  [#permalink]

Show Tags

New post 05 Mar 2019, 09:20
Kindly submit the answer

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 21 Feb 2019
Posts: 36
Re: Which of the options must be true if x satisfies the 2 inequalities gi  [#permalink]

Show Tags

New post 05 Mar 2019, 10:21
1
The two inequalities must be verified at the same time. Let's take into account the first one:

\(\frac{5x - 1}{x + 3}< 1\)
\(\frac{5x - 1 - x - 3}{x + 3} < 0\)
\(\frac{4x - 4}{x + 3} < 0\)

\(Numerator: x ≥ 1\)
\(Denominator: x > - 3\)

So, it will be negative in the range \((-3,1]\)

Let's consider the second one:

\(|2x - 5| ≤ 5\)
\(-5 ≤ 2x - 5 ≤ 5\)
\(0 ≤ x ≤ 5\)

So, the range is \([0, 5]\)

Put these outputs together to assess the values for which \(x\) is verified in both.

This happens when \(0 ≤ x ≤ 1\)

You reject all options except C.
_________________

If you liked my post, give me Kudos! Thank you.

GMAT Club Bot
Re: Which of the options must be true if x satisfies the 2 inequalities gi   [#permalink] 05 Mar 2019, 10:21
Display posts from previous: Sort by

Which of the options must be true if x satisfies the 2 inequalities gi

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.