It is currently 21 Oct 2017, 23:45

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Which of the foll inequalities has a solution set that, when

Author Message
Current Student
Joined: 11 May 2008
Posts: 555

Kudos [?]: 222 [0], given: 0

Which of the foll inequalities has a solution set that, when [#permalink]

### Show Tags

04 Aug 2008, 18:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which of the foll inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

a. x^4>=1
b. x^3<=27
c. x^2>=16
d. 2<=|x|<=5
e. 2<=3x+4<=6

detailed soln reqd

Kudos [?]: 222 [0], given: 0

SVP
Joined: 30 Apr 2008
Posts: 1867

Kudos [?]: 616 [0], given: 32

Location: Oklahoma City
Schools: Hard Knocks

### Show Tags

04 Aug 2008, 19:02
E

a) x can be anything that is not between 1 and -1.
b) This one. Any number <= 3 will satify. to -infinity
c) Anything >= 4 satisfies to + infinity
d) This is actually 2 segments of lines. x can must be between +5 and -5, so it's finite in that respect, but then x = 1.99 or -1.99 doesn't fit so there is a gap between -2 and +2
e) solve for x

2<= x <= 10/3

Because there are not absolute values or exponents, we don't have to deal with negative numbers. THis is simply between 2 and 10/3. One solid, finite line.

arjtryarjtry wrote:
Which of the foll inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

a. x^4>=1
b. x^3<=27
c. x^2>=16
d. 2<=|x|<=5
e. 2<=3x+4<=6

detailed soln reqd

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 616 [0], given: 32

Manager
Joined: 15 Jul 2008
Posts: 205

Kudos [?]: 68 [0], given: 0

### Show Tags

04 Aug 2008, 19:04
arjtryarjtry wrote:
Which of the foll inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

a. x^4>=1
b. x^3<=27
c. x^2>=16
d. 2<=|x|<=5
e. 2<=3x+4<=6

detailed soln reqd

call inf=infinity
solution for a : x>=1 or x<=-1. so graph is broken between -1 and 1, and beyond those it is infinite. (-inf, -1] [1 inf)
solution for b : x<=3 so graph is infinite between (-inf, 3]
solution for c : x>=4 or x<=-4 same as a. (-inf, 4] and [4, inf) in between graph is broken.
solution for d : [-5,-2] and [2,5]. graph if finite but broken between -2 and 2

solution for e : [-2/3, 2/3] . graph continuous in this range. So e is the answer.

Kudos [?]: 68 [0], given: 0

Senior Manager
Joined: 06 Apr 2008
Posts: 429

Kudos [?]: 165 [0], given: 1

### Show Tags

05 Aug 2008, 00:03
arjtryarjtry wrote:
Which of the foll inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

a. x^4>=1
b. x^3<=27
c. x^2>=16
d. 2<=|x|<=5
e. 2<=3x+4<=6

detailed soln reqd

IMO E) . It is a linear eqn which solves to definite single range of x.

Kudos [?]: 165 [0], given: 1

VP
Joined: 17 Jun 2008
Posts: 1374

Kudos [?]: 406 [0], given: 0

### Show Tags

05 Aug 2008, 18:50
arjtryarjtry wrote:
Which of the foll inequalities has a solution set that, when graphed on the number line, is a single line segment of finite length?

a. x^4>=1
b. x^3<=27
c. x^2>=16
d. 2<=|x|<=5
e. 2<=3x+4<=6

detailed soln reqd

value of x should be bounded i.e,higher and lower limits should be there then only finite line segment.Hence Eliminate A,B,C where either x is > finite value or < some value

Consider D and E :
(d)2<=|x|<=5
x<=5,x>=-5 and also x>=2 and x<=-2
=>two sets of values : x>=-5 or x<=-2 and x>=2 or x<=5

(D) two line segments hence eliminate
(E) This is the only option left hence correct ,we can solve this

x>=-2/3 ,x<=2/3
hence finite line segment
IMO E
_________________

cheers
Its Now Or Never

Kudos [?]: 406 [0], given: 0

Re: GMAT PREP   [#permalink] 05 Aug 2008, 18:50
Display posts from previous: Sort by