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

 It is currently 16 Dec 2018, 09:37

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 16, 2018

December 16, 2018

03:00 PM EST

04:00 PM EST

Strategies and techniques for approaching featured GMAT topics
• ### FREE Quant Workshop by e-GMAT!

December 16, 2018

December 16, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# If y is an integer such that y < -3, which of the following expression

Author Message
Manager
Joined: 13 May 2017
Posts: 101
Location: Finland
Concentration: Accounting, Entrepreneurship
GPA: 3.14
WE: Account Management (Entertainment and Sports)
If y is an integer such that y < -3, which of the following expression  [#permalink]

### Show Tags

27 Nov 2018, 11:04
1
2
00:00

Difficulty:

75% (hard)

Question Stats:

47% (01:25) correct 53% (01:21) wrong based on 95 sessions

### HideShow timer Statistics

If y is an integer such that y < -3, which of the following expressions must be correct?

I. y – $$y^2$$ + 12 < 0
II. $$y^2$$ – y – 12 > 0
III. $$2y^2$$ – 3y – 27 > 0

A. I only
B. II only
C. III only
D. I and II
E. I, II, and III
Intern
Joined: 26 Nov 2018
Posts: 5
Re: If y is an integer such that y < -3, which of the following expression  [#permalink]

### Show Tags

27 Nov 2018, 11:16
Its option C as 18+9 of the 1st two term will always be greater than positive 27 and let’s assume y= -3.00009 which will always be greater then when made positive after multiplication

Posted from my mobile device
Manager
Joined: 13 May 2017
Posts: 101
Location: Finland
Concentration: Accounting, Entrepreneurship
GPA: 3.14
WE: Account Management (Entertainment and Sports)
If y is an integer such that y < -3, which of the following expression  [#permalink]

### Show Tags

01 Dec 2018, 05:56
Given that y<-3, which inequality is correct?

$$I. y - y^2$$+12 < 0 -> modify inequality to be in standard form (standard form is when at $$ax^2$$+bx+c < 0, a is positive and on the right hand there is zero) -> multiply with (-1)
$$y^2$$ - y - 12 > 0 - inequality sign changes

Factorize: (y - 4)(y + 3) > 0 -> y=4, y=-3 -> these are the zero points (pls see 2nd pic) -> the inequality is > 0 when y< -3 or y>4

$$II. y^2$$ - y - 12 - this is the same as the first one after multiplying with (-1)

$$III. 2y^2$$- 3y - 27 >0

Factorize: (2y - 9)(y + 3) > 0 -> y=4.5 and y=-3 are the zero points (see first pic) -> when y<-3 or y>4.5 -> inequality > 0

Therefore, y<-3 fits with I. II. and III. as well -> E
Attachments

Képernyőfotó 2018-12-01 - 15.35.07.png [ 25.35 KiB | Viewed 349 times ]

Képernyőfotó 2018-12-01 - 15.29.52.png [ 26.07 KiB | Viewed 349 times ]

Intern
Joined: 18 Oct 2018
Posts: 7
Re: If y is an integer such that y < -3, which of the following expression  [#permalink]

### Show Tags

08 Dec 2018, 08:23
rencsee wrote:
If y is an integer such that y < -3, which of the following expressions must be correct?

I. y – $$y^2$$ + 12 < 0
II. $$y^2$$ – y – 12 > 0
III. $$2y^2$$ – 3y – 27 > 0

A. I only
B. II only
C. III only
D. I and II
E. I, II, and III

The fastest way of solving this is simply plugging in -4 and -5, respectively.
Re: If y is an integer such that y < -3, which of the following expression &nbs [#permalink] 08 Dec 2018, 08:23
Display posts from previous: Sort by