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Integer problem from powerprep.

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Junior | Next Rank: 30 Posts
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by roybudhaditya » Fri Oct 05, 2007 12:04 pm
Which of the following ineualities has a solution set that,when graphed on the number line,is a single line segment of finite length???

1-X^4 GREATER THAN EQUALTO 1.

2-X^3 LESS THAN EQUALTO 27.

3--X^2 GREATER THAN EQULTO 16
4- 2 LESS THAN EQUAL TO MOD X LES THAN EQUALTO 5..

5-2 LESS THAN EQUAL TO 3X+4 LESS THAH EQUALTO 6..

Oppsss,,i am tired to write it down...How to answer this question?
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by nidhanoor » Fri Oct 05, 2007 1:20 pm
The question requires us to get the range of x
1.x^4 >= 1 --> x is in (-inf,-1) U (1,inf)

2 x^3 <= 27 --> x is in (-infinity,3)

3.x^2 >= 16 --> X is in (-inf,-4) U (4,inf)

4. 2 <= |x| <=5 --> x is in (-5,-2) U(2,5)

5. 2 <= 3x+4 <= 6 --> x is in (-2/3,2/3)

Thus the answer is 5 as its the only one which is finite and continous when representd on a number line
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by nidhanoor » Fri Oct 05, 2007 1:21 pm
The question requires us to get the range of x
1.x^4 >= 1 --> x is in (-inf,-1) U (1,inf)

2 x^3 <= 27 --> x is in (-infinity,3)

3.x^2 >= 16 --> X is in (-inf,-4) U (4,inf)

4. 2 <= |x| <=5 --> x is in (-5,-2) U(2,5)

5. 2 <= 3x+4 <= 6 --> x is in (-2/3,2/3)

Thus the answer is 5 as its the only one which is finite and continous when representd on a number line
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