February 23, 2019 February 23, 2019 07:00 AM PST 09:00 AM PST Learn reading strategies that can help even nonvoracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT February 24, 2019 February 24, 2019 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 06 Aug 2014
Posts: 15
Concentration: Entrepreneurship, Marketing
GPA: 3.3

If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
Updated on: 13 Sep 2014, 05:45
Question Stats:
59% (01:11) correct 41% (01:21) wrong based on 538 sessions
HideShow timer Statistics
If it is true that m^2 < 9 and m > 1, which of the following must be true? (A) m > 3 (B) m>1 (C) m>3 (D) m<1 (E) None of the above I believe the answer should be 1<m<3, however the answer key says m>3.
Could someone explain this ?
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by madhavmarda on 12 Sep 2014, 21:41.
Last edited by Bunuel on 13 Sep 2014, 05:45, edited 1 time in total.
Renamed the topic and edited the question.



Math Expert
Joined: 02 Sep 2009
Posts: 53066

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
13 Sep 2014, 05:55



Intern
Joined: 18 Aug 2014
Posts: 10
Location: India
Concentration: General Management, Finance
GMAT Date: 10082014
GPA: 3.23
WE: Analyst (Retail Banking)

If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
13 Sep 2014, 06:03
madhavmarda wrote: If it is true that \(m^2 < 9\) and \(m > 1\), which of the following must be true?
(A) m > 3 (B) m>1 (C) m>3 (D) m<1 (E) None of the above
The question tells us \(m^2 < 9\), which simplifies to \(3 < m < 3\). We are also told that \(m > 1\). Combining the two conditions we get, \(1 < m < 3\). Now the question asks, what must be true. Let's look at the answer choices one at a time. (A) \(m > 3\)  Since \(m > 1\), this will always be true. We have our answer and can stop right here. But let's look at the other answer choices just to be certain. (B) \(m > 1\)  Not necessary. \(m\) can be \(0\). (C) \(m > 3\)  False. \(m\) can never be more than \(3\). (D) \(m < 1\)  Not necessary. \(m\) can be \(1\). (E) None of the above  False, as we have already seen A is true. So, the answer is A. Hope that helps.
_________________
The buttons on the left are the buttons you are looking for



Director
Joined: 03 Feb 2013
Posts: 846
Location: India
Concentration: Operations, Strategy
GPA: 3.88
WE: Engineering (Computer Software)

If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
16 Nov 2014, 11:34
Bunuel wrote: madhavmarda wrote: If it is true that m^2 < 9 and m > 1, which of the following must be true? (A) m > 3 (B) m>1 (C) m>3 (D) m<1 (E) None of the above I believe the answer should be 1<m<3, however the answer key says m>3.
Could someone explain this ? m^2 < 9 means that 3 < m < 3. Combined with m > 1, we get that 1 < m < 3. Any m from this range must be greater than 3, hence A must be true. Answer: A. How m > 3 satisfy the must be true criteria. Consider m = +4 does it satisfy? 1 < m < 3 Should be E) None of the above.
_________________
Thanks, Kinjal My Debrief : http://gmatclub.com/forum/hardworknevergetsunrewardedforever189267.html#p1449379 My Application Experience : http://gmatclub.com/forum/hardworknevergetsunrewardedforever18926740.html#p1516961 Linkedin : https://www.linkedin.com/in/kinjaldas/
Please click on Kudos, if you think the post is helpful



Math Expert
Joined: 02 Sep 2009
Posts: 53066

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
16 Nov 2014, 11:38
kinjiGC wrote: Bunuel wrote: madhavmarda wrote: If it is true that m^2 < 9 and m > 1, which of the following must be true? (A) m > 3 (B) m>1 (C) m>3 (D) m<1 (E) None of the above I believe the answer should be 1<m<3, however the answer key says m>3.
Could someone explain this ? m^2 < 9 means that 3 < m < 3. Combined with m > 1, we get that 1 < m < 3. Any m from this range must be greater than 3, hence A must be true. Answer: A. How m > 3 satisfy the must be true criteria. Consider m = +4 does it satisfy? 1 < m < 3 Should be E) None of the above. The correct answer is A, not E. You misinterpreted the question. We are given that that 1 < m < 3. If 1 < m < 3, then it must be true that m is greater than 3.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 21 Jan 2014
Posts: 61
WE: General Management (NonProfit and Government)

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
16 Nov 2014, 21:47
since m^2>9 3<m<3
given that m>1
from both of these inequalities
m must be m>3
Answer is A



Current Student
Joined: 12 Aug 2015
Posts: 2621

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
23 May 2017, 04:39



Math Expert
Joined: 02 Sep 2009
Posts: 53066

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
25 Dec 2017, 19:56



Intern
Joined: 28 Sep 2016
Posts: 18

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
03 Jan 2018, 13:27
For Beginners if m^2<9 = m^29<0 =(m3)(m+3)<0 : The roots are +3 and 3 so the range is 3<x<3 As per the Wavvy line method( don't get carried away by this Jargon just search for the keyword wavvy ,it is an easy concept of quadratic Inequlaity which you should be aware of ) and the range is also m>1 combined together the intersection region in the number line is 1<x<3 is the final range
Now Analyze each answer choices
(A) m > 3 The Option A is always correct, because for any number in the range 1<x<3 is always greater than 3
(B) m>1 The Option B is not always correct for any number in the range 1<x <3, because there are also numbers less than 1 in the range
(C) m>3 The Option C is always wrong because we have the range as 1<x <3
(D) m<1 The Option D is not always correct for any number in the range 1<x <3, because there are also numbers greater than 1 in the range
(E) None of the above
Answer is A



Intern
Joined: 09 Sep 2017
Posts: 5
Location: Viet Nam
GPA: 3.71

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
03 Jan 2018, 19:27
m^2<9 > 3<m<3 AND m>1 Therefore 1<m<3 m>3 is true to all m that satisfies the above inequality.



Intern
Joined: 29 Oct 2018
Posts: 7

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
19 Nov 2018, 01:38
Bunuel wrote: madhavmarda wrote: If it is true that m^2 < 9 and m > 1, which of the following must be true? (A) m > 3 (B) m>1 (C) m>3 (D) m<1 (E) None of the above I believe the answer should be 1<m<3, however the answer key says m>3.
Could someone explain this ? m^2 < 9 means that 3 < m < 3. Combined with m > 1, we get that 1 < m < 3. Any m from this range must be greater than 3, hence A must be true. Answer: A. what if m= 4, it satisfies 1 but doesn't the equation in the question.



Math Expert
Joined: 02 Sep 2009
Posts: 53066

Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
Show Tags
19 Nov 2018, 02:06




Re: If it is true that m^2 < 9 and m > 1, which of the following must be
[#permalink]
19 Nov 2018, 02:06






