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Inequalities

Expert replies
by gviren » Tue May 29, 2007 3:26 am
If x is an integer, what is the value of x?
(1) –2(x + 5) < -1
(2) – 3x > 9


Not sure but OA is C. I thought E. Please help
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Source: — Data Sufficiency |

by f2001290 » Tue May 29, 2007 5:08 am
From 1) x>-4.5
From 2) x<-3

From 1 and 2) x=-4.
Notable point here is that the question stem says "x" is an integer
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by gviren » Tue May 29, 2007 5:12 am
Thanks f2001290. Appreciate that
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by drhomler » Thu Jun 07, 2007 5:04 am
Can someone explain how these inequalities ar eset equal to each other to come up with -4 as the answer. I get the part about 1)as 9/2 and 2) as less than -3 but I dont see the last step.

Thanks
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by thumpin_termis » Thu Jun 07, 2007 9:59 am
drhomler wrote:Can someone explain how these inequalities ar eset equal to each other to come up with -4 as the answer. I get the part about 1)as 9/2 and 2) as less than -3 but I dont see the last step.

Thanks
so you can figure out,
x > -4.5
x < -3

which means
-4.5 < x < -3

So x is between -4.5 and -3 (not inclusive of the two), and there is only one integer between those extremes, -4.
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by drhomler » Thu Jun 07, 2007 10:11 am
awesome thanks-i think something in my brain broke-i appreciate the help
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