Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 01 Aug 2015, 04:36

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If it is true that x > -2 and x <7, which of the following m

Author Message
TAGS:
Senior Manager
Joined: 31 Oct 2011
Posts: 329
Followers: 1

Kudos [?]: 353 [0], given: 18

If it is true that x > -2 and x <7, which of the following m [#permalink]  14 Mar 2012, 14:24
3
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

60% (01:33) correct 40% (00:44) wrong based on 311 sessions
If it is true that x > -2 and x <7, which of the following must be true?

A. x > 2
B. x > -7
C. x< 2
D. -7 < x < 2
E. none of the above.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47426 [0], given: 7123

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  14 Mar 2012, 14:48
Expert's post
eybrj2 wrote:
If it is true that x > -2 and x <7, which of the following must be true?

A. x > 2
B. x > -7
C. x< 2
D. -7 < x < 2
E. none of the above.

Given: -2<x<7.

Now, any x from this true range is more than -7, so x>-7 must be true.

_________________
Manager
Joined: 28 Jul 2011
Posts: 221
Followers: 0

Kudos [?]: 61 [0], given: 14

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  29 Jun 2012, 06:19
Bunuel

what is the reason B must be true ???

the range is -2<x<7

A. x > 2 - no because x can be between -2<x<2
B. x > -7 -- the answer is true, is it because the values of x are always >-7
C. x< 2 - no because x can be between 2<x<7
D. -7 < x < 2 - no beacuse x can be between -7<x<-2 ????
E. none of the above. - i actually went for E answer choice

in the another problem we had similar situation
ANY x from the ranges -1<x<0 and x>1 will definitely be more the -1. I didnot understood the reason there as well???

Math Expert
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47426 [0], given: 7123

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  29 Jun 2012, 06:52
Expert's post
kuttingchai wrote:
Bunuel

what is the reason B must be true ???

the range is -2<x<7

A. x > 2 - no because x can be between -2<x<2
B. x > -7 -- the answer is true, is it because the values of x are always >-7
C. x< 2 - no because x can be between 2<x<7
D. -7 < x < 2 - no beacuse x can be between -7<x<-2 ????
E. none of the above. - i actually went for E answer choice

in the another problem we had similar situation
ANY x from the ranges -1<x<0 and x>1 will definitely be more the -1. I didnot understood the reason there as well???

Option D is not correct since x could be 2<x<7. Otherwise your reasoning is correct.

We are given that $$-2<x<7$$. The question is which of the following is true about $$x$$?

$$x>-7$$ is true about $$x$$, because as $$x$$ is more than -2 then it's definitely more than -7.

To elaborate more. Question uses the same logic as in the examples below:

If $$x=5$$, then which of the following must be true about $$x$$:
A. x=3
B. x^2=10
C. x<4
D. |x|=1
E. x>-10

Answer is E (x>-10), because as x=5 then it's more than -10.

Or:
If $$-1<x<10$$, then which of the following must be true about $$x$$:
A. x=3
B. x^2=10
C. x<4
D. |x|=1
E. x<120

Again answer is E, because ANY $$x$$ from $$-1<x<10$$ will be less than 120 so it's always true about the number from this range to say that it's less than 120.

Or:
If $$-1<x<0$$ or $$x>1$$, then which of the following must be true about $$x$$:
A. x>1
B. x>-1
C. |x|<1
D. |x|=1
E. |x|^2>1

As $$-1<x<0$$ or $$x>1$$ then ANY $$x$$ from these ranges would satisfy $$x>-1$$. So B is always true.

$$x$$ could be for example -1/2, -3/4, or 10 but no matter what $$x$$ actually is it's IN ANY CASE more than -1. So we can say about $$x$$ that it's more than -1.

On the other hand for example A is not always true as it says that $$x>1$$, which is not always true as $$x$$ could be -1/2 and -1/2 is not more than 1.

Hope it's clear.
_________________
Manager
Joined: 28 Sep 2011
Posts: 70
Location: United States
GMAT 1: 520 Q34 V27
GMAT 2: 550 Q V
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
Followers: 1

Kudos [?]: 20 [0], given: 10

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  29 Jun 2012, 09:24
Bunuel, what difficulty would you say this problem is? 600-700 sounds awfully high, I was putting it more in the mid 500's.
Math Expert
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47426 [0], given: 7123

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  29 Jun 2012, 10:01
Expert's post
ashish8 wrote:
Bunuel, what difficulty would you say this problem is? 600-700 sounds awfully high, I was putting it more in the mid 500's.

I'd say the difficulty level is ~600.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47426 [0], given: 7123

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  04 Mar 2014, 09:43
Expert's post
Bumping for review and further discussion.
_________________
Intern
Joined: 02 Jun 2012
Posts: 23
Followers: 0

Kudos [?]: 2 [0], given: 11

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  11 Jan 2015, 20:38
in this question, if x=-6, then is it not satisfying the equation in the question, that is x>-2?
Math Expert
Joined: 02 Sep 2009
Posts: 28781
Followers: 4594

Kudos [?]: 47426 [0], given: 7123

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  11 Jan 2015, 23:46
Expert's post
abhilashaa wrote:
in this question, if x=-6, then is it not satisfying the equation in the question, that is x>-2?

_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3061
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 134

Kudos [?]: 850 [1] , given: 54

Re: If it is true that x > -2 and x <7, which of the following m [#permalink]  11 Jan 2015, 23:59
1
KUDOS
Expert's post
Hi All,

This question has a real "quirky" design to it. To get the correct answer, you have to focus on the limitations given in the prompt. Consider ALL of the possibilities for X IN THE PROMPT, then select the answer that is TRUE for all of THOSE values.

To get you thinking in the proper way, consider the following....

If you KNOW that X = 0, is it true that X > -1?

Yes.

If you KNOW that 3 > X > 0, is it true that X > -10?

Yes.

Notice the pattern in the logic. I'm NOT presenting the idea that X is everything greater than -10. I'm just asking if, given the limitations, that the statement is TRUE.

As it stands, this type of "quirky design" doesn't show up on Test Day all that often, but plenty of standard questions WILL ask you for "what must be true?"

GMAT assassins aren't born, they're made,
Rich
_________________

Re: If it is true that x > -2 and x <7, which of the following m   [#permalink] 11 Jan 2015, 23:59
Similar topics Replies Last post
Similar
Topics:
16 If 4<(7-x)/3, which of the following must be true? 12 11 Mar 2014, 23:07
2 If y>0>x, and (3+5y)/(x−1) < −7, then which of the following 10 01 Jul 2013, 22:38
10 If |b|>=2 and x = |a|*b, then which of the following is always true? 11 10 Mar 2011, 20:51
1 If 4<(7-x)/3, which of the following must be true? 5 23 Oct 2010, 07:49
30 If 4<(7-x)/3, which of the following must be true? 14 12 Aug 2010, 14:05
Display posts from previous: Sort by