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melguy
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Finite Length line 07 Oct 2011, 18:40
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60% (00:16) correct 40% (01:22) wrong based on 6 sessions

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Hello all

I am having a bit of difficulty understanding as to why D is not the answer. Someone plz help

Thanks!



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Capricorn369
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Finite Length line 07 Oct 2011, 22:19
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melguy
Hello all

I am having a bit of difficulty understanding as to why D is not the answer. Someone plz help

Thanks!
Show more

Good question.

Option D - x can have multiple values 2, 3, 4, 5, -2, -3, -4, -5, Hence finite length is not possible. Not an answer.
Option E - only x= 0 is only value which satisfy the equation. Hence, this is the only answer.

Hope it helps!
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denver2018
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Finite Length line 07 Oct 2011, 23:25
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I do not agree with you that the only choice in E is 0 because if you solve the equation. it will be
-2/3<= x<= 2/3 and that means more than one solution, but if the question said integer!! it will be as you said.

so , again why the answer is E and what is wrong with D
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Finite Length line 08 Oct 2011, 01:53
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denver2018
I do not agree with you that the only choice in E is 0 because if you solve the equation. it will be
-2/3<= x<= 2/3 and that means more than one solution, but if the question said integer!! it will be as you said.

so , again why the answer is E and what is wrong with D
Show more

D's solution is:
-5<=x<=-2
OR
2<=x<=5

Thus, it is not a SINGLE line-segment. Solution gives us two line-segments with a gap between -2 and +2, exclusive.

A)
x>=1
OR
x<=-1
Two-infinite rays, gap between 1 and -1, exclusive.

B)
x^3<=27
x<=3
Infinite ray, not a line segment.

C)
x>=4
x<=-4
Two infinite rays.

E)
-2/3<=x<=2/3
Just one continuous line-segment.

Ans: "E"
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Finite Length line 10 Oct 2011, 02:19
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Quote:

D's solution is:
-5<=x<=-2
OR
2<=x<=5
Show more

Hi

Sorry I am still not clear. If I read what you wrote -> 2<=x<=5

I am reading it as x is greater than or equal to 2 and x is less than or equal to 5. So it means x would start at 2 and can be equal to or less than 5 (making it a finite length).
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Finite Length line 10 Oct 2011, 02:25
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melguy
Quote:

D's solution is:
-5<=x<=-2
OR
2<=x<=5

Hi

Sorry I am still not clear. If I read what you wrote -> 2<=x<=5

I am reading it as x is greater than or equal to 2 and x is less than or equal to 5. So it means x would start at 2 and can be equal to or less than 5 (making it a finite length).
Show more

BOTH:
-5<=x<=-2
AND
2<=x<=5

So, there are TWO line-segments(finite-length). We want just ONE line-segment. See the picture.
Attachments

line_segments.gif
line_segments.gif [ 711 Bytes | Viewed 3020 times ]

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Finite Length line 10 Oct 2011, 21:16
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1. x>=1 or x<=-1 not a finite length segment.

2. x<=3 not a finite length segment.

3. x>=4 or x<=-4 not a finite length segment.

4. 2<=x<=5 or -2>=x>-5 not one finite length segment.

5. -2/3 <=x<=2/3 finite length segment.

Answer is E.
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Finite Length line 10 Oct 2011, 21:26
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Spidy001
1. x>=1 or x=4 or x=x>-5 not one finite length segment.

5. -2/3 <=x<=2/3 finite length segment.

Answer is E.
Show more


Thanks Spidy.

From what I am gathering the absolute value is playing the main role here. Plz confirm if i understand it right.

e.g |x|<= 5
if we solve this then the solution will look something like below
-5 <= x <= 5



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