Inequalities question

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Inequalities question

by rishianand7 » Tue Aug 06, 2013 4:23 am
Is |x|< 1?
(1) |x + 1| = 2|x - 1|
(2) |x - 3| ≠ 0

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by sparkles3144 » Tue Aug 06, 2013 6:48 am
Is |x|< 1?
(1) |x + 1| = 2|x - 1|

There are four possibilities

A. (x + 1) = 2(x - 1)
x + 1 = 2x - 2
x = 3

B. - (x + 1) = - 2(x - 1)
B is same as A

C. - (x + 1) = 2(x - 1)
-x - 1 = 2x - 2
X=1/3

D. (x + 1) = - 2(x - 1)
D is same as C

X = 3 OR 1/3
Insufficient



(2) |x - 3| ≠ 0
x ≠ 3
Insufficient

C. X = 1/3