Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 09 Feb 2012
Posts: 47

Find the solution set for the following inequality 232x [#permalink]
Show Tags
14 Mar 2012, 12:42
1
This post received KUDOS
9
This post was BOOKMARKED
Question Stats:
63% (01:49) correct
38% (01:25) wrong based on 66 sessions
HideShow timer Statistics
Hi everybody,
can please s.o. help me with this question?
Many thanks
Find the solution set for the following inequality 232x < 14?



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
14 Mar 2012, 13:03
5
This post received KUDOS
Expert's post
3
This post was BOOKMARKED



Intern
Joined: 16 Feb 2012
Posts: 3

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
15 Mar 2012, 01:41
32x can have two possible solns, either it is (32x) or (32x) so wr can solve this ques as 2*(32x)<14 => x<5 or 2*(32x)<14 => x>4 combining above two 4 is the solution.
Posted from my mobile device
_________________
its never funny the second time



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
15 Mar 2012, 01:48



Intern
Joined: 16 Feb 2012
Posts: 3

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
15 Mar 2012, 02:16
Yes i guess my soln was wrong.. x could take values infinity to infinity.. Posted from my mobile device
_________________
its never funny the second time



Manager
Status: Do till 740 :)
Joined: 13 Jun 2011
Posts: 110
Concentration: Strategy, General Management
GPA: 3.6
WE: Consulting (Computer Software)

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
15 Mar 2012, 12:33
Hi Buneul, Why cant we do as we do normally as in take a positive solution , then a negative solution?
x<5 x>2
What am i doing wrong here?



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
16 Mar 2012, 04:27
3
This post received KUDOS
Expert's post
3
This post was BOOKMARKED



Manager
Joined: 12 Oct 2011
Posts: 131
GMAT 1: 700 Q48 V37 GMAT 2: 720 Q48 V40

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
17 Mar 2012, 06:45
I have a general question.
If I have an inequality with an absolute value expression, why can't I simplify the absolute value expression.
First I can devide by 2, which gives me 32x>7
Now why can't I check the two cases for the absolute value expression that I have to check when absolute value expression are in equalities?



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
17 Mar 2012, 07:53



Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GPA: 3.23

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
05 Dec 2012, 03:08
232x < 14 32x > 7 What value of x will satisfy the equation? Any value since 3  2x is always positive no matter what value of x.
_________________
Impossible is nothing to God.



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16027

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
05 Nov 2014, 08:10
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16027

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
26 Nov 2015, 00:13
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Intern
Joined: 24 Oct 2015
Posts: 1

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
23 Jan 2016, 05:29
umm, i get 2<x<5
232x<14
solution 1 2*(32x)< 14 6+4x<14 4x<14+6 4x<20 x<5
solution 2 2*1(32x)<14 64x<14 614<4x 8<4x 2<x
2<x<5



Manager
Joined: 27 Aug 2016
Posts: 83
Location: India
GPA: 3
WE: Engineering (Energy and Utilities)

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
25 Dec 2016, 08:50
Bunuel wrote: BN1989 wrote: I have a general question.
If I have an inequality with an absolute value expression, why can't I simplify the absolute value expression.
First I can devide by 2, which gives me 32x>7
Now why can't I check the two cases for the absolute value expression that I have to check when absolute value expression are in equalities? Please read my responses above: YOU DO NOT NEED TO DO THAT, since LHS is an absolute value then it's ALWAYS more than negative number 7, so it'll be more for ALL values of x. Thanx Bunuel...your solution is well understood...but i guess lot of people are asking why do we not get the same answer may be something like x=negative infinity to positive infinity if we solve it through conventional and probably lengthier process...as in the rush of things (timer etc) the "QUALITATIVE ASSESSMENT" may or may not click in mind...thanx..pl help.



Intern
Joined: 04 Sep 2016
Posts: 2

Re: Find the solution set for the following inequality 232x [#permalink]
Show Tags
21 Jan 2017, 18:19
Quote: BN1989 wrote: I have a general question.
If I have an inequality with an absolute value expression, why can't I simplify the absolute value expression.
First I can devide by 2, which gives me 32x>7
Now why can't I check the two cases for the absolute value expression that I have to check when absolute value expression are in equalities?
Please read my responses above: YOU DO NOT NEED TO DO THAT, since LHS is an absolute value then it's ALWAYS more than negative number 7, so it'll be more for ALL values of x. I understand the reason why we dont need to do the lengthy process since LHS is an absolute value. Since this topic is difficult for me I try to solve with the longer way just to get more grasp of the concept. If we get the solutions graphically it comes out as 2 < x < 5. But it should have come for any value of x. What am i doing wrong? The range i have got is by simplifying 232x < 14 in the following way 32x > 7 = 2 (x3/2)  > 7 =2 x3/2 > 7 =x3/2  > 7/2




Re: Find the solution set for the following inequality 232x
[#permalink]
21 Jan 2017, 18:19







