Which of the following inequalities has a solution set that

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Which of the following inequalities has a solution set that [#permalink]

14 Apr 2012, 06:43

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

A. x>=4
B. x^2>=4
C. x^3>=64
D. |x|>=4
E. |x|<=4

[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Apr 2012, 11:00, edited 3 times in total.

Edited the question

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Re: Which of the following inequalities has a solution set...... [#permalink]

14 Apr 2012, 07:46

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rpamecha wrote:

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

1) x>=4
2) x^2>=4
3) x^3>=64
4) |x|>=4
5) |x|<=4

Please explain your answer.

OA to follow, after some discussion.

its 5).
-4 <= x<= 4

rest of the solution sets are not finite
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Re: Which of the following inequalities has a solution set that [#permalink]

14 Apr 2012, 11:16

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

A. x>=4 --> this inequality clearly has one infinite solution set:

Attachment:

A..gif [ 978 Bytes | Viewed 2310 times ]

B. x^2>=4 --> this inequality has two infinite solution sets, x\leq{-2} and x\geq{2}:

Attachment:

B..gif [ 1.02 KiB | Viewed 2309 times ]

C. x^3>=64 --> this inequality has one infinite solution set, x\geq{4}:

Attachment:

C..gif [ 978 Bytes | Viewed 2309 times ]

D. |x|>=4 --> this inequality has two infinite solution sets, x\leq{-4} and x\geq{4}:

Attachment:

D..gif [ 992 Bytes | Viewed 2308 times ]

E. |x|<=4 --> this inequality has one finite solution set, -4\leq{x}\leq{4}:

Attachment:

E..gif [ 681 Bytes | Viewed 2311 times ]

Answer: E.

Similar question to practice: which-of-the-following-inequalities-has-a-solution-set-that-127820.html

Hope it helps.
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Re: Which of the following inequalities has a solution set that [#permalink]

27 Jun 2012, 11:36

rpamecha wrote:

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

A. x>=4
B. x^2>=4
C. x^3>=64
D. |x|>=4
E. |x|<=4

The best way to solve this problem is to do so using number lines.
a) Infinite
b) |x|>=2 which means x>=2 and x<=-2. Infinitite in opposite directions.
c) x>=4 Infinite
d) x>=4 and x<=-1 Infinite in opposite directions
e) x<=4 and x>=-4 which means -4<=x<=4. !!!

The answer is E.

Re: Which of the following inequalities has a solution set that [#permalink] 27 Jun 2012, 11:36

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Which of the following inequalities has a solution set that

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Which of the following inequalities has a solution set that

Which of the following inequalities has a solution set that

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