GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 23 Jan 2020, 04:36

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

Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60625
Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0  [#permalink]

Show Tags

New post 19 Nov 2019, 01:53
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:36) correct 44% (02:04) wrong based on 27 sessions

HideShow timer Statistics

Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8335
Re: Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0  [#permalink]

Show Tags

New post 19 Nov 2019, 03:11
1
Bunuel wrote:
Is \(2 < x < 4\)?


(1) \(x^2 – 5x + 6 < 0\)

(2) \(3x^2 – 9x < 0\)



Are You Up For the Challenge: 700 Level Questions


(1) \(x^2 – 5x + 6 < 0.......x^2-3x-2x+6<0......(x-3)(x-2)<0\)....This means 2<x<3.....YES, 2<x<4.

(2) \(3x^2 – 9x < 0.......3x(x-3)<0\). This means 0<x<3. x can be 1, then NO or x can be 2.5, then YES.

A
_________________
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1493
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
Re: Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0  [#permalink]

Show Tags

New post 19 Nov 2019, 03:40
chetan2u, Sir , I face difficulties in combining range in factorization . Would u pls show effective technique to deal with combination of range , specially in inequality . Thanks .
VP
VP
avatar
P
Joined: 24 Nov 2016
Posts: 1094
Location: United States
CAT Tests
Re: Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0  [#permalink]

Show Tags

New post 20 Nov 2019, 09:28
1
Bunuel wrote:
Is \(2 < x < 4\)?

(1) \(x^2 – 5x + 6 < 0\)
(2) \(3x^2 – 9x < 0\)


(1) \(x^2 – 5x + 6 < 0\) sufic

\(x^2 – 5x + 6 < 0…(x-3)(x-2)<0…(less.than=inside.rng)…2<x<3\)

(2) \(3x^2 – 9x < 0\) insufic

\(3x^2 – 9x < 0…x^2-3x<0…x(x-3)<0…(less.than=inside.rng)…0<x<3\)

Ans (A)
GMAT Club Bot
Re: Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0   [#permalink] 20 Nov 2019, 09:28
Display posts from previous: Sort by

Is 2 < x < 4? (1) x^2 – 5x + 6 < 0 (2) 3x^2 – 9x < 0

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





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