Last visit was: 27 Jul 2024, 07:13 It is currently 27 Jul 2024, 07:13
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following is a solution for the above equation

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 94625
Own Kudos [?]: 644350 [2]
Given Kudos: 86771
Send PM
CAT Tests Forum Quiz Mode
Which of the following is a solution for the above equation [#permalink] Which of the following is a solution for the above equation   25 Nov 2021, 09:00
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

85% (hard)

Question Stats:

47% (02:34) correct 53% (02:21) wrong based on 85 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
\(|x+2|+|2x+6|+|3x-3|=12\)

Which of the following is a solution for the above equation


(A) \(-\frac{5}{2}\)

(B) \(-\frac{7}{5}\)

(C) \(-\frac{7}{6}\)

(D) \(\frac{5}{6}\)

(E) \(\frac{5}{3}\)
ShowHide Answer
Official Answer
A
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Own Kudos [?]: 30869 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: Which of the following is a solution for the above equation [#permalink] Which of the following is a solution for the above equation   25 Nov 2021, 09:27
1
Kudos
Expert Reply
Top Contributor
Bunuel wrote:
\(|x+2|+|2x+6|+|3x-3|=12\)

Which of the following is a solution for the above equation


(A) \(-\frac{5}{2}\)

(B) \(-\frac{7}{5}\)

(C) \(-\frac{7}{6}\)

(D) \(\frac{5}{6}\)

(E) \(\frac{5}{3}\)


STRATEGY: As with all GMAT Problem Solving questions, we should immediately ask ourselves, Can I use the answer choices to my advantage?
In this case, we can easily test the answer choices.
Now we should give ourselves 15 to 20 seconds to identify a faster approach.
Since an algebraic approach looks tricky/long, I'm going to test the given values.

A) Plug in x = -2.5 to get: |(-2.5) + 2| + |2(-2.5) + 6| + |3(-2.5) - 3| = 12
Evaluate: 0.5 + 1 + 10.5 = 12
WORKS!

Answer: A
User avatar
B
lucasd14
Current Student
Joined: 24 Nov 2021
Posts: 38
Own Kudos [?]: 16 [0]
Given Kudos: 92
Location: Argentina
Schools: ESADE (A)
Send PM
Re: Which of the following is a solution for the above equation [#permalink] Which of the following is a solution for the above equation   28 Nov 2021, 20:34
BrentGMATPrepNow wrote:
Bunuel wrote:
\(|x+2|+|2x+6|+|3x-3|=12\)

STRATEGY: As with all GMAT Problem Solving questions, we should immediately ask ourselves, Can I use the answer choices to my advantage?
In this case, we can easily test the answer choices.
Now we should give ourselves 15 to 20 seconds to identify a faster approach.
Since an algebraic approach looks tricky/long, I'm going to test the given values.

A) Plug in x = -2.5 to get: |(-2.5) + 2| + |2(-2.5) + 6| + |3(-2.5) - 3| = 12
Evaluate: 0.5 + 1 + 10.5 = 12
WORKS!

Answer: A



In A: |(-2.5) + 2| + |2(-2.5) + 6| + |3(-2.5) - 3| = 12, really is:
0.5 + 1 + 4.5 = 6.

So A is not the correct answer.


Could you please check and let me know if I'm incorrect?
User avatar
G
rsrighosh
Manager
Manager
Joined: 13 Jun 2019
Posts: 197
Own Kudos [?]: 96 [0]
Given Kudos: 645
GMAT 1: 490 Q42 V17
GMAT 2: 550 Q39 V27
GMAT 3: 630 Q49 V27
Send PM
Re: Which of the following is a solution for the above equation [#permalink] Which of the following is a solution for the above equation   29 Nov 2021, 06:39
lucasdachequi
|3(-2.5) - 3| = |-7.5-3| = |-10.5| = 10.5..... not 4.5
User avatar
L
Fdambro294
VP
VP
Joined: 10 Jul 2019
Posts: 1384
Own Kudos [?]: 579 [0]
Given Kudos: 1656
Send PM
Which of the following is a solution for the above equation [#permalink] Which of the following is a solution for the above equation   14 Mar 2023, 23:27
Step 1: you can find the critical points on the number line, below which and above which the sign of the quantity inside the Modulus will change

|x - (-2)| + 2 |x - (-3)| + 3 |x - (+1)| = 12

The critical points: x = -3 , -2 , +1


{—————(-3)————(-2)—————(+1)——}

2nd) if you look at the answer choices, answers B, C, D, and E all fall with the range of greater than -2 and less than or equal to +1

Only answer A falls within a different range:

-3 </= x < -2

So let’s open the absolute value expressions according to this assumed range (if the answer doesn’t match A, then we can open the expressions according to the other range):

- (x + 2) + 2x + 6 - (3x - 3) = 12

-x - 2 + 2x + 6 - 3x + 3 = 12

-2x + 7 = 12

-2x = 5

X = 5 / -2 = (-) 5/2

Answer A

Posted from my mobile device
GMAT Club Bot
gmatclubot
Which of the following is a solution for the above equation [#permalink]
14 Mar 2023, 23:27
Moderator:
Bunuel
Math Expert
94625 posts