If x is an integer, is |x|>1
(1 - 2x)(1 + x) < 0
(1 - x)(1 + 2x) < 0
|x|>1
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fruti_yum wrote:I think its C.. When we take the two together we find that x is between -0.5 and 0.5. The question asked whether x is between -1 and 1... thus it qualifies for an answer combining the two togetherSher1 wrote:If x is an integer, is |x|>1
(1 - 2x)(1 + x) < 0
(1 - x)(1 + 2x) < 0
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I'd go with B.
1.
(1-2x)(1+x)<0
2x^2+x>1
X(2x+1) > 1
X > 1 OR
(2x+1) > 1
X > 0 Insuff.
2.
(1-x) (1+2x) < 0
X(2x-1) > 1
X > 1 OR
(2x-1)> 1
x> 1.
In Either case, x is greater than 1. Which means |x|>1. Suff.
1.
(1-2x)(1+x)<0
2x^2+x>1
X(2x+1) > 1
X > 1 OR
(2x+1) > 1
X > 0 Insuff.
2.
(1-x) (1+2x) < 0
X(2x-1) > 1
X > 1 OR
(2x-1)> 1
x> 1.
In Either case, x is greater than 1. Which means |x|>1. Suff.