Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 02:22

### 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 (7 - 2y)/3 < -5 then

Author Message
TAGS:

### Hide Tags

SVP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1686
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
If (7 - 2y)/3 < -5 then  [#permalink]

### Show Tags

12 Aug 2018, 09:49
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:37) correct 26% (00:52) wrong based on 47 sessions

### HideShow timer Statistics

If $$\frac{7 - 2y}{3} < -5$$ then

1. y < -4

2. y < 11

3. y > -4

4. y > 4

5. y > 11

_________________
"Do not watch clock; Do what it does. KEEP GOING."
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: If (7 - 2y)/3 < -5 then  [#permalink]

### Show Tags

12 Aug 2018, 10:54
AkshdeepS wrote:
If $$\frac{7 - 2y}{3}$$ $$< -5$$ then

1. y < -4

2. y < 11

3. y > -4

4. y > 4

5. y > 11

Given, $$\frac{7 - 2y}{3}$$ $$< -5$$
Or, 7-2y<-15
Or, -(2y-7)<-15
Or, 2y-7>15
Or, 2y>22
Or, y>11

Ans. (E)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Senior SC Moderator
Joined: 22 May 2016
Posts: 3076
If (7 - 2y)/3 < -5 then  [#permalink]

### Show Tags

13 Aug 2018, 08:46
AkshdeepS wrote:
If $$\frac{7 - 2y}{3} < -5$$ then

1. y < -4

2. y < 11

3. y > -4

4. y > 4

5. y > 11

Rule: If we divide an inequality by a negative number, we must flip the inequality sign.

$$\frac{7 - 2y}{3} < -5$$

$$7 - 2y < -15$$

$$- 2y < -22$$

Divide both sides by $$-2$$. Flip the sign.

$$\frac{- 2y}{-2} <\frac{-22}{-2}$$

$$y > 11$$

Corollary: Never divide an inequality by a variable unless that variable must be positive, such as $$x^2$$.

Here is a good explanation for "why flip the sign" that uses the properties of the number line and is followed by an easy algebraic proof.
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: If (7 - 2y)/3 < -5 then  [#permalink]

### Show Tags

13 Aug 2018, 09:51
AkshdeepS wrote:
If $$\frac{7 - 2y}{3} < -5$$ then

1. y < -4

2. y < 11

3. y > -4

4. y > 4

5. y > 11

$$\frac{7 - 2y}{3} < -5$$

Or, $$7 - 2y < -15$$

Or, $$7 + 15 < 2y$$

Or, 1$$1 < y$$, Thus Answer must be (E)
_________________
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 )
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: If (7 - 2y)/3 < -5 then  [#permalink]

### Show Tags

18 Aug 2018, 19:27
AkshdeepS wrote:
If $$\frac{7 - 2y}{3} < -5$$ then

1. y < -4

2. y < 11

3. y > -4

4. y > 4

5. y > 11

Simplifying, we have:

7 - 2y < -15

-2y < -22

y > 11

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If (7 - 2y)/3 < -5 then   [#permalink] 18 Aug 2018, 19:27
Display posts from previous: Sort by