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Which of the following inequalities is equivalent to

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Intern
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Which of the following inequalities is equivalent to [#permalink]  10 Dec 2003, 11:27
Which of the following inequalities is equivalent to
-2<x<4

A. |x-2|<4
B. |x-1|<3
C. |x-2|>4
D. None of the above
Senior Manager
Joined: 22 May 2003
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B

In A x=4 is valid and it shouldn't be
In C x=3 is not valid and it should be

B is valid for -1,0,1,2,3 and is not valid for -2 and 4
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Re: Modulus [#permalink]  12 Dec 2003, 23:38
preyshi wrote:
Which of the following inequalities is equivalent to
-2<x<4

A. |x-2|<4
B. |x-1|<3
C. |x-2|>4
D. None of the above

none of the above

for A,
x- 2 < 4 ... x < 6
x-2 < -4 .... x<-2

similarly, do it for all
Intern
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ans is B [#permalink]  20 Dec 2003, 20:49
-2< x< 4
-2-1 < (x-1) < 4-1
-3 < (x-1) < 3
=> |x-1| <3

I am using the property that for |x| < y
-y <x < y

any takers for this one.
Senior Manager
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B

Quote:
B. |x-1|<3

So, -3<x-1<3
(-3+1)<(x-1+1)<(3+1)
-2<x<4

praetorian123 wrote:
Quote:
for A,
x- 2 < 4 ... x < 6
x-2 < -4 .... x<-2

Shouldn't the second inequality be x-2 > -4 .... x>-2?
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Which of the following inequalities is equivalent to

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