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

# If |-3x + 1| < 7, then which of the following represents all possible

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47903
If |-3x + 1| < 7, then which of the following represents all possible  [#permalink]

### Show Tags

13 Jul 2018, 01:01
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:31) correct 21% (01:27) wrong based on 72 sessions

### HideShow timer Statistics

If $$|-3x + 1| < 7$$, then which of the following represents all possible values of x?

A. $$-2 < x$$

B. $$-2 < x < \frac{8}{3}$$

C. $$-2 \leq x \leq \frac{8}{3}$$

D. $$x < -2$$ or $$x > \frac{8}{3}$$

E. $$x \leq -2$$ or $$x \geq \frac{8}{3}$$

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 6519
Re: If |-3x + 1| < 7, then which of the following represents all possible  [#permalink]

### Show Tags

13 Jul 2018, 01:09
2
Bunuel wrote:
If |-3x + 1| < 7, then which of the following represents all possible values of x?

A. -2 < x
B. -2 < x < 8/3
C. -2 < x < 8/3
D. x < -2 or x > 8/3
E. x < -2 or x < 8/3

since there is only one MOD, we can take the best method of opening MOD here
so two cases
|-3x+1|<7.............-3x+1<7...............-3x<6..................-x<2 or x>-2

|-3x+1|<7.............-(-3x+1)<7...............3x-1<7..................3x<8 or x<8/3

so -2<x<8/3

B or C

Bunuel both B and C are same .. some typo
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Math Expert
Joined: 02 Sep 2009
Posts: 47903
Re: If |-3x + 1| < 7, then which of the following represents all possible  [#permalink]

### Show Tags

13 Jul 2018, 01:18
chetan2u wrote:
Bunuel wrote:
If |-3x + 1| < 7, then which of the following represents all possible values of x?

A. -2 < x
B. -2 < x < 8/3
C. -2 < x < 8/3
D. x < -2 or x > 8/3
E. x < -2 or x < 8/3

since there is only one MOD, we can take the best method of opening MOD here
so two cases
|-3x+1|<7.............-3x+1<7...............-3x<6..................-x<2 or x>-2

|-3x+1|<7.............-(-3x+1)<7...............3x-1<7..................3x<8 or x<8/3

so -2<x<8/3

B or C

Bunuel both B and C are same .. some typo

Edited. Thank you for noticing.
_________________
Senior Manager
Joined: 31 Oct 2013
Posts: 477
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If |-3x + 1| < 7, then which of the following represents all possible  [#permalink]

### Show Tags

13 Jul 2018, 03:29
Bunuel wrote:
If $$|-3x + 1| < 7$$, then which of the following represents all possible values of x?

A. $$-2 < x$$

B. $$-2 < x < \frac{8}{3}$$

C. $$-2 \leq x \leq \frac{8}{3}$$

D. $$x < -2$$ or $$x > \frac{8}{3}$$

E. $$x \leq -2$$ or $$x \geq \frac{8}{3}$$

Case 1 : (-3x + 1) is positive .

( -3x + 1) <7
-3x < 6
-x < 2
x> -2.

Case 2: ( -3x +1 ) is negative :

- (-3x + 1) <7
3x -1 <7
x < 8/3.

Combining both cases :

-2 <x < 8/3.

Option B fits .

Re: If |-3x + 1| < 7, then which of the following represents all possible &nbs [#permalink] 13 Jul 2018, 03:29
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®.