It is currently 23 Oct 2017, 19:53

### 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 June
Open Detailed Calendar

# If 3|3 – x| = 7, what is the product of all the possible va

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 08 Dec 2012
Posts: 66

Kudos [?]: 273 [1], given: 31

Location: United Kingdom
WE: Engineering (Consulting)
If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

28 Mar 2013, 21:09
1
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

75% (01:03) correct 25% (01:11) wrong based on 619 sessions

### HideShow timer Statistics

If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9
[Reveal] Spoiler: OA

Kudos [?]: 273 [1], given: 31

Intern
Status: Attending Duke in May!
Joined: 08 Jan 2013
Posts: 29

Kudos [?]: 41 [2], given: 18

Location: United States (NC)
GMAT 1: 640 Q42 V35
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

28 Mar 2013, 21:40
2
KUDOS
nave81 wrote:
If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9

3|3-x| = 7 can be rewritten as: $$|3-x| = \frac{7}{3}$$

So

$$|\frac{9}{3} - x| = \frac{7}{3}$$

x has two possible solutions $$\frac{2}{3}$$ and $$\frac{16}{3}$$ that satisfy the equation

$$\frac{2}{3}*\frac{16}{3} = \frac{32}{9}$$

Kudos [?]: 41 [2], given: 18

VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1120

Kudos [?]: 2334 [2], given: 219

Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

29 Mar 2013, 00:29
2
KUDOS
1
This post was
BOOKMARKED
$$3|3 - x| = 7$$
case $$3-x>0$$
$$3(3-x)=7$$
$$9-3x=7, x=\frac{2}{3}$$
case $$3-x<0$$
$$3(-3+x)=7$$
$$-9+3x=7, x= 16/3$$

$$\frac{2}{3}*\frac{16}{3}=\frac{32}{9}$$
E
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Kudos [?]: 2334 [2], given: 219

Intern
Joined: 15 Jan 2013
Posts: 38

Kudos [?]: 29 [0], given: 6

Concentration: Finance, Operations
GPA: 4
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

01 Apr 2013, 08:00
nave81 wrote:
If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9

3|3 – x| = 7 So, |3 – x| = 7/3 or (3-x) = +7/3 or -7/3
Solving we get x = 2/3 or 16/3
product = $$2/3 * 16/3 = 32/9$$

Kudos [?]: 29 [0], given: 6

Senior Manager
Joined: 13 May 2013
Posts: 463

Kudos [?]: 198 [0], given: 134

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

10 Jul 2013, 10:38
If 3|3 – x| = 7, what is the product of all the possible values of x?

x≥3, x<3

x≥3:
3|3 – x| = 7
3 -(3-x) = 7
3 (-3+x) = 7
-9 + 3x = 7
3x = 16
x=16/3 Valid

x<3
3(3-x) = 7
9-3x = 7
-3x=-2
x=2/3

(16/3)*(2/3) = 32/9

(E)

Kudos [?]: 198 [0], given: 134

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16539

Kudos [?]: 274 [0], given: 0

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

23 Jan 2015, 01:33
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.
_________________

Kudos [?]: 274 [0], given: 0

Intern
Joined: 10 Sep 2015
Posts: 2

Kudos [?]: [0], given: 29

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

09 Mar 2016, 05:40
I don't agree with E. 16/3, when substituted in the original equation doesn't satisfy it. you would get |-9/3| = 7/3 which is not legit. So we should discard 16/3 as a solution of the equation. That leaves us with 2/3 which is option C

Best Regards
Dheeraj Rekula

Kudos [?]: [0], given: 29

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129537 [0], given: 12201

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

09 Mar 2016, 06:35

Kudos [?]: 129537 [0], given: 12201

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129537 [0], given: 12201

If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

09 Mar 2016, 06:38
Caesar_1987 wrote:
If 3|3 – x| = 7, what is the product of all the possible values of x?

A. 1/9
B. 1/3
C. 2/3
D. 16/9
E. 32/9

I don't agree with E. 16/3, when substituted in the original equation doesn't satisfy it. you would get|-9/3| = 7/3 which is not legit. So we should discard 16/3 as a solution of the equation. That leaves us with 2/3 which is option C

Best Regards
Dheeraj Rekula

16/3 does satisfy the equation:
3|3 – 16/3| = 7;
3*7/3 = 7.

Hope it's clear.
_________________

Kudos [?]: 129537 [0], given: 12201

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16539

Kudos [?]: 274 [0], given: 0

Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

12 Mar 2017, 15:01
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.
_________________

Kudos [?]: 274 [0], given: 0

Manager
Status: active
Joined: 25 Jan 2016
Posts: 166

Kudos [?]: 33 [0], given: 10

Location: India
Concentration: Finance, Entrepreneurship
GPA: 4
WE: Web Development (Computer Software)
Re: If 3|3 – x| = 7, what is the product of all the possible va [#permalink]

### Show Tags

13 Mar 2017, 01:19
3|3-x| = 7 can be rewritten as: |3−x|=7/3
so we have
1. 3-x =7/3
x=2/3

2. 3-x=-7/3
x=16/3

so product will be
32/9

Kudos [?]: 33 [0], given: 10

Re: If 3|3 – x| = 7, what is the product of all the possible va   [#permalink] 13 Mar 2017, 01:19
Display posts from previous: Sort by

# If 3|3 – x| = 7, what is the product of all the possible va

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.