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# How many integers X are there between |x-3.5| < 2? 2 3 4

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CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

How many integers X are there between |x-3.5| < 2? 2 3 4 [#permalink]  24 Oct 2007, 06:54
How many integers X are there between |x-3.5| < 2?

2
3
4
5
6

VP
Joined: 10 Jun 2007
Posts: 1465
Followers: 6

Kudos [?]: 133 [0], given: 0

Re: Challenge - Easy Abs Val [#permalink]  24 Oct 2007, 07:14
bmwhype2 wrote:
How many integers X are there between |x-3.5| < 2?

2
3
4
5
6

Critical point at 3.5
Subtract and Add 2 to that number yields
1.5 and 5.5
Integers are 2, 3, 4, 5
Total = 4
SVP
Joined: 01 May 2006
Posts: 1805
Followers: 8

Kudos [?]: 98 [0], given: 0

(C) as well

|x-3.5| < 2
<=> -2 < x-3.5 < 2
<=> 3.5 - 2 < x < 3.5 + 2
<=> 1.5 < x < 5.5

So, X = {2,3,4,5}... Nb(X) = 4
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

Re: Challenge - Easy Abs Val [#permalink]  24 Oct 2007, 11:40
bmwhype2 wrote:
How many integers X are there between |x-3.5| < 2?

2
3
4
5
6

OA is C 4 integers.

Re: Challenge - Easy Abs Val   [#permalink] 24 Oct 2007, 11:40
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