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albertrahul
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GMAT Prep - Number Properties
Source: Beat The GMAT — Problem Solving |
Answer) E = |X|/X
If X not equal to Zero, sqrt(X^2)/ X
If X = -1
sqrt(X^2)/ X = sqrt ( -1 ^ 2)/ -1 = sqrt(1)/-1 = 1/-1 = -1
If X = 1
sqrt(X^2)/ X = sqrt ( 1 ^ 2)/ 1 = sqrt(1)/1 = 1/1 = 1
So, X can be -1 or + 1
look at the answers
if x = -1
=> |x|/x = |-1|/-1 = 1/-1 = -1
if x = 1
=> |x|/x = |1|/1 = 1/1 = 1
If X not equal to Zero, sqrt(X^2)/ X
If X = -1
sqrt(X^2)/ X = sqrt ( -1 ^ 2)/ -1 = sqrt(1)/-1 = 1/-1 = -1
If X = 1
sqrt(X^2)/ X = sqrt ( 1 ^ 2)/ 1 = sqrt(1)/1 = 1/1 = 1
So, X can be -1 or + 1
look at the answers
if x = -1
=> |x|/x = |-1|/-1 = 1/-1 = -1
if x = 1
=> |x|/x = |1|/1 = 1/1 = 1
