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If x is an integer, what is the value of x? (1) x^2 - 4x + 3

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Re: If x is an integer, what is the value of x? (1) x^2 - 4x + 3 [#permalink] New post 17 Jan 2013, 05:44
dimitri92 wrote:
If x is an integer, what is the value of x?

(1) x^2 - 4x + 3 < 0
(2) x^2 + 4x +3 > 0


1. (x-3)(x-1) < 0
Use the quick technique to getting roots:
<---(+)--1---(-)----3---(+)--->

1 < x < 3, since x is an integer then x = 2 SUFFICIENT

2. (x+1)(x+3) > 0
<----(+)---(-1)-------(-)---------(-3)--(+)---->
x < -1 or x > -3, too many possible roots, INSUFFICIENT.

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Re: If x is an integer, what is the value of x? (1) x^2 - 4x + 3 [#permalink] New post 17 Jan 2013, 08:11
Statement 1: If x has to be an integer only x=2 would yield a number that is less than 0. Sufficient.
Statement 2: x can take on any number of integers that would yield a number greater than 0. Not Sufficient.
Re: If x is an integer, what is the value of x? (1) x^2 - 4x + 3   [#permalink] 17 Jan 2013, 08:11
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