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Is |x| + |x -1| = 1? (1) x ≥ 0 (2) x ≤ 1

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Is |x| + |x -1| = 1? (1) x ≥ 0 (2) x ≤ 1

by GMATinsight » Sat Nov 07, 2015 5:49 am
Is |x| + |x -1| = 1?

(1) x ≥ 0
(2) x ≤ 1


Answer: option C
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by GMATinsight » Sat Nov 07, 2015 5:50 am
GMATinsight wrote:Is |x| + |x -1| = 1?

(1) x ≥ 0
(2) x ≤ 1


Answer: option C
For Such questions the first and most important question is TO THINK, for what vale of x, will |x| + |x -1| = 1 be true

The ranges of values to be checked are
1) between 0 and 1
2) between 0 and -1
3) Greater than 1
4) Less than -1

After a few hit and trial you may comfortably arrive at the range 0 ≤ x ≤ 1 for which the above expression will be correct

Statement 1: x ≥ 0

x may be between 0 and 1 (Answer to the question 'YES') OR
x may be Greater than 1 (Answer to the question 'NO')
NOT SUFFICIENT

Statement 2: x ≤ 1

x may be between 0 and 1 (Answer to the question 'YES') OR
x may be Less than 0 (Answer to the question 'NO')
NOT SUFFICIENT

Combining the two Statements
x ≥ 0 and x ≤ 1
i.e. 0 ≤ x ≤ 1
SUFFICIENT

Answer: option C
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