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

 It is currently 18 Aug 2018, 11:33

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

If m < 15 and m > –4, which of the following must be true?

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47983
If m < 15 and m > –4, which of the following must be true?  [#permalink]

Show Tags

30 Jan 2017, 10:47
00:00

Difficulty:

25% (medium)

Question Stats:

58% (00:35) correct 42% (00:41) wrong based on 155 sessions

HideShow timer Statistics

If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

_________________
Manager
Joined: 21 Jan 2016
Posts: 82
Location: India
GMAT 1: 670 Q50 V30
WE: Engineering (Computer Software)
Re: If m < 15 and m > –4, which of the following must be true?  [#permalink]

Show Tags

30 Jan 2017, 11:06
Bunuel wrote:
If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

Placing -15, -4, 4 and 15 on the number line, only d satisfies the given conditions. Hence D
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3780
Location: India
GPA: 3.5
Re: If m < 15 and m > –4, which of the following must be true?  [#permalink]

Show Tags

30 Jan 2017, 11:38
Bunuel wrote:
If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

$$-4 < m < 15$$

Or, $$m = { -3 , -2 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 }$$

Thus , from the given options only (A) fits in perfectly, $$m > - 15$$

Hence, Aswer will be (A)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Manager
Joined: 09 Aug 2017
Posts: 166
Re: If m < 15 and m > –4, which of the following must be true?  [#permalink]

Show Tags

07 Feb 2018, 23:08
Math Expert
Joined: 02 Sep 2009
Posts: 47983
Re: If m < 15 and m > –4, which of the following must be true?  [#permalink]

Show Tags

07 Feb 2018, 23:16
1
gvij2017 wrote:

If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

We have that m < 15 and m > –4, thus -4 < m < 15 (this is given to be true). Any m from this range will be for sure greater than -15.

As for the other options:

B. m < 4. This is not always true. For example, x could be 10.

C. m > 4. This is not always true. For example, x could be 0.

D. –4 < m < 4. This is not always true. For example, x could be 10.

E. –15 < m < 4. This is not always true. For example, x could be 10.

Check other similar questions from Trickiest Inequality Questions Type: Confusing Ranges (part of our Special Questions Directory).
_________________
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2727
Re: If m < 15 and m > –4, which of the following must be true?  [#permalink]

Show Tags

09 Feb 2018, 10:57
Bunuel wrote:
If m < 15 and m > –4, which of the following must be true?

A. m > –15
B. m < 4
C. m > 4
D. –4 < m < 4
E. –15 < m < 4

We note that since m is greater than -4, any possible value of m will also be greater than -15, therefore m > -15.

To see why other choices are not possible, let’s pick values for m close to upper and lower bounds, such as m = -3 and m = 14.

Answer Choice B: We see that m < 4 is not necessarily true since m can equal 14.

Answer Choice C: We see that m > 4 is not necessarily true since m can equal -3.

Answer Choice D: We see that -4 < m < 4 is not necessarily true since m can equal 14.

Answer Choice E: We see that -15 < m < 4 is not necessarily true since m can equal 14.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If m < 15 and m > –4, which of the following must be true? &nbs [#permalink] 09 Feb 2018, 10:57
Display posts from previous: Sort by

Events & Promotions

 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®.