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This is one of those questions that require us to check/test the answer choices. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: https://www.beatthegmat.com/mba/2014/09/ ... -questionsWhich inequality solution set, when graphed on the number line, is a single line segment of finite length?
A) x� ≥ 1
B) x³ ≤ 27
C) x² ≥ 16
D) 2 ≤ |x| ≤ 5
E) 2 ≤ 3x + 4 ≤ 6
The solution here consists of 2 line segments, and the question is looking for a solution consisting of ONE line segment.kamalakarthi wrote:Thank you Brent for your fast reply. I have a doubt on choice D.
2 ≤ |x| ≤ 5 , In this choice I took a positive value of X and thought that value of x will be less than or = 5 and x is <= 2 so I thought the definite value are between 2 and 5 and concluded this is a correct answer. Can you please help me understand on what is wrong in this choice.
One important thing here: 2 ≤ |x| ≤ 5 implies that 2 ≤ x ≤ 5 OR -5 ≤ x ≤ -2, so the conclusion is slightly more specific than that. You're correct that this does give a segment of finite length, but unfortunately (for us) it gives two of them. (This is the rare case where two is not better than one!)kamalakarthi wrote:Thank you Brent for your fast reply. I have a doubt on choice D.
2 ≤ |x| ≤ 5 , In this choice I took a positive value of X and thought that value of x will be less than or = 5 and x is <= 2 so I thought the definite value are between 2 and 5 and concluded this is a correct answer. Can you please help me understand on what is wrong in this choice.
Yup, you're on the right track: 2 ≤ x ≤ 5 means that x is a single segment of finite length.shahfahad wrote:I was going through the questions in GMAT Prep Now course and found this question. I just want to ask that if option D would have been " 2 <= x <= 5 " rather than " 2 <= |x| <= 5 ". Then option D WOULD be correct? It is the ABSOLUTE SIGN that creates 2 line segments rather than 1? Because if it had been " 2 <= x <= 5 " then the line segment would be 1? But as it is "|x|", it could be either positive or negative creating two line segments?
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