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

 It is currently 20 Apr 2019, 21:41

### 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 −1<x<5, which is the following could be true?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54376
If −1<x<5, which is the following could be true?  [#permalink]

### Show Tags

04 Feb 2015, 08:53
00:00

Difficulty:

15% (low)

Question Stats:

77% (02:05) correct 23% (01:59) wrong based on 102 sessions

### HideShow timer Statistics

If −1<x<5, which is the following could be true?

A. 2x > 10
B. x > 17/3
C. x^2 > 27
D. 3x + x^2 < −2
E. 2x – x^2 < 0

Kudos for a correct solution.

_________________
Manager
Joined: 14 Sep 2014
Posts: 106
Concentration: Technology, Finance
WE: Analyst (Other)
Re: If −1<x<5, which is the following could be true?  [#permalink]

### Show Tags

04 Feb 2015, 09:46
1
1
−1<x<5

A. 2x > 10 divide both sides by 2 and x > 5 [False]
B. x > 17/3 17/3 > 5 so x > 5 [False]
C. x^2 > 27 $$\sqrt{27}$$ is $$3\sqrt{3}$$ or $$-3\sqrt{3}$$ which is approximately 5.1 or -5.1 [False]
D. 3x + x^2 < −2 = x*(3+x) < -2. For this to be true, x would have to be negative and 3+x would have to be positive. If we test values between -1 and 0, we see the statement is [False]. For example, -0.5*(3-0.5) < -2 so -0.5*2.5 < -2 so -1.25 < -2
E. 2x – x^2 < 0 = x*(2-x) < 0 For this to be true, either x or 2-x would have to be negative and the other value would have to be positive. If we test x = 3 we get 3*(2-3) < 0 so 3*(-1) < 0 so -3 < 0 [True]
Math Expert
Joined: 02 Sep 2009
Posts: 54376
Re: If −1<x<5, which is the following could be true?  [#permalink]

### Show Tags

09 Feb 2015, 05:19
Bunuel wrote:
If −1<x<5, which is the following could be true?

A. 2x > 10
B. x > 17/3
C. x^2 > 27
D. 3x + x^2 < −2
E. 2x – x^2 < 0

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Simplify each inequality.
(A) says x>5, which contradicts the question stem.
(B) says x>a number greater than 5: also a contradiction.
(C) says x^2>27 , so x>√27, which is > 5; impossible.
(D) says x<−1; impossible.
(E) says x>2, which is possible.
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 10564
Re: If −1<x<5, which is the following could be true?  [#permalink]

### Show Tags

17 Mar 2019, 11:08
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.
_________________
Re: If −1<x<5, which is the following could be true?   [#permalink] 17 Mar 2019, 11:08
Display posts from previous: Sort by