 It is currently 24 Oct 2020, 17:56 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 13671
Followers: 305

Kudos [?]: 3528 , given: 12608

If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x? [#permalink]
Expert's post 00:00

Question Stats: 71% (01:42) correct 28% (01:39) wrong based on 46 sessions
If $$|y| ≤ - 4x$$ and |$$3x - 4| = 2x + 6$$, what is the value of x?

A. $$-3$$

B. $$\frac{-1}{3}$$

C. $$\frac{-2}{5}$$

D. $$\frac{1}{3}$$

E. $$10$$
[Reveal] Spoiler: OA

_________________

Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page

Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020]

Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.

Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos

GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Manager  Joined: 06 Jun 2018
Posts: 94
Followers: 2

Kudos [?]: 80  , given: 0

Re: If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x? [#permalink]
1
KUDOS
Carcass wrote:
If $$|y| ≤ - 4x$$ and |$$3x - 4| = 2x + 6$$, what is the value of x?

A. $$-3$$

B. $$\frac{-1}{3}$$

C. $$\frac{-2}{5}$$

D. $$\frac{1}{3}$$

E. $$10$$

First of all , thanks for this question that made me upset for a while. It's not that much easy. It must be at least mid level question.

Note:

|y| means the ultimate value is positive.

Given $$|y| \leq-4x$$

So, -4x is positive. It clearly indicates that x is negative.

we have |3x-4| = 2x + 6

Case 1:

3x - 4 is positive .

3x - 4 = 2x + 6

x = 10

Case 2 :

(3x - 4) is negative.

-3x + 4 = 2x + 6

x = - $$\frac{2}{5}$$

Thus x = - 2/5 as it meets out condition. Re: If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?   [#permalink] 09 Aug 2018, 13:36
Display posts from previous: Sort by

# If |y| ≤ –4x and |3x – 4| = 2x + 6, what is the value of x?  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.