Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1312:30 AM EDT
-01:30 AM EDT
Struggling to find the right strategies to score a 99 %ile on GMAT Focus? Riya (GMAT 715) boosted her score by 100-points in just 15 days! Discover how the right mentorship, tailored strategies, and an unwavering mindset can transform your GMAT prep.
Sep 1301:30 AM EDT
-02:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 1808:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
04 May 2020, 06:25
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (02:17) correct
31%
(02:25)
wrong
based on 656
sessions
History
Date
Time
Result
Not Attempted Yet
If \(|3x - 2 + 4x| > 7\), which of the following is a possible value for x?
A. \(- \frac{2}{3}\)
B. \(- \frac{1}{2}\)
C. \(\frac{3}{4}\)
D. \(\frac{5}{4}\)
E. \(\frac{4}{3}\)
A. \(- \frac{2}{3}\)
B. \(- \frac{1}{2}\)
C. \(\frac{3}{4}\)
D. \(\frac{5}{4}\)
E. \(\frac{4}{3}\)
04 May 2020, 06:43
Kudos
Bookmarks
Bunuel
When solving inequalities involving ABSOLUTE VALUE, there are 2 things you need to know:
Rule #1: If |something| < k, then –k < something < k
Rule #2: If |something| > k, then EITHER something > k OR something < -k
Note: these rules assume that k is positive
Given: \(|3x - 2 + 4x| > 7\)
Apply Rule #2 to get: EITHER \(3x - 2 + 4x > 7\) OR \(3x - 2 + 4x < -7\)
Let's deal with each one separately:
Take: \(3x - 2 + 4x > 7\)
Simplify: \(7x - 2 > 7\)
Add 2 to both sides: \(7x > 9\)
Divide both sides by \(7\) to get: \(x > \frac{9}{7}\)
Take: \(3x - 2 + 4x < -7\)
Simplify: \(7x - 2 < -7\)
Add 2 to both sides: \(7x < -5\)
Divide both sides by \(7\) to get: \(x < -\frac{5}{7}\)
So, EITHER \(x > \frac{9}{7}\) OR \(x > -\frac{5}{7}\)
Since \(\frac{4}{3} > \frac{9}{7}\), the correct answer is E
Cheers,
Brent
General Discussion
Updated on: 09 Dec 2023, 04:27
Originally posted by BrushMyQuant on 17 Jul 2021, 10:03.
Last edited by BrushMyQuant on 09 Dec 2023, 04:27, edited 4 times in total.
Last edited by BrushMyQuant on 09 Dec 2023, 04:27, edited 4 times in total.
Kudos
Bookmarks
\(|3x - 2 + 4x| > 7\)
=> |7x - 2| > 7
Theory : |X| > A
=> X > A or X < -A
A. \(-\frac{2}{3}\) ~ 0.67 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
B. \(-\frac{1}{2}\) = 0.5 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
C. \(\frac{3}{4}\) = 0.75 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
D. \(\frac{5}{4}\) = 1.25 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
E. \(\frac{4}{3}\) = 1.3 > 1.28 => TRUE
So, Answer will be E
Hope it helps!
Watch the following video to MASTER Absolute Values
=> |7x - 2| > 7
Theory : |X| > A
=> X > A or X < -A
| |7x - 2| > 7 so we will have two cases, 7x - 2 > 7 or 7x - 2 < -7 | |
| -Case 1: 7x - 2 > 7 => 7x > 9 => x > \(\frac{9}{7}\) ~ 1.28 | -Case 2: 7x - 2 < -7 => 7x < -5 => x < \(\frac{-5}{7}\) ~ -0.71 |
A. \(-\frac{2}{3}\) ~ 0.67 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
B. \(-\frac{1}{2}\) = 0.5 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
C. \(\frac{3}{4}\) = 0.75 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
D. \(\frac{5}{4}\) = 1.25 Does not fall in the range x < -0.71 or x > 1.28 => FALSE
E. \(\frac{4}{3}\) = 1.3 > 1.28 => TRUE
So, Answer will be E
Hope it helps!
Watch the following video to MASTER Absolute Values
