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# If x and y are integers and y=l x+3 l + l 4-x l, does y=7?

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Manager
Joined: 29 Apr 2006
Posts: 85
Followers: 1

Kudos [?]: 7 [0], given: 0

If x and y are integers and y=l x+3 l + l 4-x l, does y=7? [#permalink]  06 May 2006, 08:27
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If x and y are integers and y=l x+3 l + l 4-x l, does y=7?
1)x<4
2)x>-3
Senior Manager
Joined: 29 Jun 2005
Posts: 403
Followers: 1

Kudos [?]: 15 [0], given: 0

If x and y are integers and y=l x+3 l + l 4-x l, does y=7?
1)x<4
2)x>-3

Y will be seven only if:
[x+3]=x+3 --> so x should be greater than -3

and

[4-x]=4-x. --> x should be less 4

Combining both we get -3<x<4

Hence C.
Manager
Joined: 09 Apr 2006
Posts: 173
Location: Somewhere in Wisconsin!
Followers: 1

Kudos [?]: 2 [0], given: 0

y = 7 if x > -3 and x < 4. A and B cannot individually cater to the complete condition. So C.
_________________

Thanks,
Zooroopa

Manager
Joined: 27 Mar 2006
Posts: 136
Followers: 1

Kudos [?]: 1 [0], given: 0

Agree with C
Director
Joined: 26 Sep 2005
Posts: 578
Location: Munich,Germany
Followers: 1

Kudos [?]: 10 [0], given: 0

-3<x<4 is the final inequality which satisfies the equation. Hence C.

None of the individual statements are suff.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5079
Location: Singapore
Followers: 22

Kudos [?]: 182 [0], given: 0

St1:
insufficient. If x = 3, y = 6 + 1 = 7. If x = -5, y = 2 + 9 = 11.

St2:
insufficient. If x = 2, y = 5 + 2 = 7. If x = 5, y = 8 + 1 = 9.

Using st1 and st2:
-3 < x < 4 --> legal values of x = -2,-1,0,1,2,3

All these values of x gives y = 7. Sufficient.

Ans C
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