Ran into this one on my second GMATPrep practice test:
Which inequality solution set, when graphed on the xy cord. plane, is a single line segment of finite length?
A) X4 >/= 1
B) X3 </= 27
C) X2 >/= 16
D) 2 </= IxI </= 5
E) 2 </= 3x + 4 </= 6
<>/= Greater than or equal to
X4, X3, X2 - exponents
IxI - absolute value
If there is a way to write these symbols on here please let me know.
The answer is E but I can't figure out why. Thanks.
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Which inequality solution set is a line of finite length?
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Bens4vcobra
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As we are looking for a single line segment, the expression (to be precise, function) of x must be linear in nature. Now option A, B, and C are not linear. Hence, they are rejected.Bens4vcobra wrote:Which inequality solution set, when graphed on the xy cord. plane, 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
Option D involves absolute value. Therefore, it'll have at least two region. Hence, option D is also rejected.
Only option E remains.
The correct answer is E.
Note : All the expressions of x given in the options should be declared as y = expression of x. Otherwise the question makes no sense.
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Bens4vcobra
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Thank you.Anurag@Gurome wrote:As we are looking for a single line segment, the expression (to be precise, function) of x must be linear in nature. Now option A, B, and C are not linear. Hence, they are rejected.Bens4vcobra wrote:Which inequality solution set, when graphed on the xy cord. plane, 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
Option D involves absolute value. Therefore, it'll have at least two region. Hence, option D is also rejected.
Only option E remains.
The correct answer is E.
Note : All the expressions of x given in the options should be declared as y = expression of x. Otherwise the question makes no sense.
Could you demonstrate how option E is linear?
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