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

 It is currently 15 Aug 2018, 00:02

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

Which of the following could be the graph of all values of x that sati

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47903
Which of the following could be the graph of all values of x that sati  [#permalink]

Show Tags

16 Jul 2018, 21:07
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:36) correct 20% (01:26) wrong based on 51 sessions

HideShow timer Statistics

Which of the following could be the graph of all values of x that satisfy the inequality $$2 - 5x \leq -\frac{(6x - 5)}{3}$$ ?

Attachment:

Quant.jpg [ 13.54 KiB | Viewed 602 times ]

_________________
Senior Manager
Status: Asst. Manager
Joined: 01 Oct 2017
Posts: 466
Location: India
Concentration: Operations, Entrepreneurship
GPA: 4
WE: Supply Chain Management (Energy and Utilities)
Re: Which of the following could be the graph of all values of x that sati  [#permalink]

Show Tags

16 Jul 2018, 22:44
Bunuel wrote:
Which of the following could be the graph of all values of x that satisfy the inequality $$2 - 5x \leq -\frac{(6x - 5)}{3}$$ ?

Attachment:
Quant.jpg

Option A, B, and D have the point x=0 in common.

At x=0, we have LHS=2, RHS=5/3, so the given inequality is not valid.
So, option A,B, and D are eliminated.

Between C & E, E possesses negative value of x.
At x=-2, LHS=12 and RHS=17/3; so the given inequality is not valid. Option E is eliminated.

Ans. (C)

P.S:- By solving the inequality, we have $$x\geq{\frac{1}{9}}$$. Straightaway option (C).
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Joined: 22 Feb 2018
Posts: 244
Re: Which of the following could be the graph of all values of x that sati  [#permalink]

Show Tags

17 Jul 2018, 00:09
Bunuel wrote:
Which of the following could be the graph of all values of x that satisfy the inequality $$2 - 5x \leq -\frac{(6x - 5)}{3}$$ ?

Attachment:
Quant.jpg

OA:C
$$2 - 5x \leq -\frac{(6x - 5)}{3}$$

Multilpying both sides by -1, we get
$$5x-2≥ \frac{{6x-5}}{3}$$

Multiplying both sides by 3 , we get
$$15x-6≥6x-5$$

$$9x≥1$$

Dividing by 9 on both sides
$$x≥\frac{1}{9}$$

Only C satisifies this condition
_________________

Good, good Let the kudos flow through you

Senior Manager
Joined: 31 Oct 2013
Posts: 477
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Which of the following could be the graph of all values of x that sati  [#permalink]

Show Tags

17 Jul 2018, 06:34
Bunuel wrote:
Which of the following could be the graph of all values of x that satisfy the inequality $$2 - 5x \leq -\frac{(6x - 5)}{3}$$ ?

Attachment:
Quant.jpg

Given

$$2 - 5x \leq -\frac{(6x - 5)}{3}$$

6 - 15x <= - 6x -5

15 x -6 >= 6x -5

9x >= 1

x >= 1/9.

Only option C fits the condition.

Re: Which of the following could be the graph of all values of x that sati &nbs [#permalink] 17 Jul 2018, 06:34
Display posts from previous: Sort by

Events & Promotions

 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®.