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If it is true that x > 2 and x < 7, which of the [#permalink]
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06 Nov 2005, 12:41
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If it is true that x > 2 and x < 7, which of the following must be true?
a) x > 2
b) x > 7
c) x < 2
d) 7 < x < 2
e) None of the above
I have OA but couldn't understand OE. Could somone explain?



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Joined: 04 Sep 2005
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If x is between 2 and 7, x must be greater than 7.



Senior Manager
Joined: 06 Apr 2005
Posts: 349
Location: USA

The answer has got to be E None of the above
x > 7 is not the correct answer, because it implies that x can be = 4, for example, but according to what is given x > 2 and x < 7, and 4 < 2.
None of the answer choices correctly reflect what is given.
Hope that helps!!
Thanks,
Darth



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Joined: 23 Oct 2005
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Re: PS: Inequality (OG# 9) [#permalink]
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07 Nov 2005, 08:26
sudhagar wrote: If it is true that x > 2 and x < 7, which of the following must be true?
a) x > 2 b) x > 7 c) x < 2 d) 7 < x < 2 e) None of the above
I have OA but couldn't understand OE. Could somone explain?
E.
1) x > 2 means that x could be > 7. This goes against stem. discard.
2) x > 7. means x could be < 2 or x could be > 7. discard
3) x < 2. means x could be < 2. discard
4) 7 < x < 2. means x could be 5 which goes against stem.
Hence E. Was the OA E?



Senior Manager
Joined: 02 Oct 2005
Posts: 297

OA is B, but I do not know how to get the answer. I also choose E, but thats wrong
Could one (who choose B) explain how did you arrive at that the answer?



Senior Manager
Joined: 04 May 2005
Posts: 279
Location: CA, USA

You can draw a line and mark two points A(2,0) and B(7,0),
the stem says 2 < x < 7, meaning your point, let's say C (x,0) is between A and B
so will all C
> 2 ?  not necessarily (e.g. all points 2<x<2)
> 7 ?  YES
< 2 ?  not necessarily (e.g. all points 2<x<7)
> 7 < and < 2 ?  not necessarily (same as < 2 ?)
(7)(2),,,,,,,,,,,,,,,,,(7)



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Joined: 24 Oct 2005
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Re: PS: Inequality (OG# 9) [#permalink]
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08 Nov 2005, 17:41
sudhagar wrote: If it is true that x > 2 and x < 7, which of the following must be true?
a) x > 2 b) x > 7 c) x < 2 d) 7 < x < 2 e) None of the above
I have OA but couldn't understand OE. Could somone explain? HIMALAYA wrote: b) x > 7
if x> 7 which means.. x can be 6 right??
but the question says.. x> 2.. and x<7.. so.. 6 does not fall in between..
OA is B..but im not convinced!
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Senior Manager
Joined: 07 Jul 2005
Posts: 402

If you rewrite the stimulus you have the following: 2 < x < 7.
a) Out: because x = 100
b) Out: because x = 100
c) Out: because x = 100
d) Okay: If you multply 1 throughout, then 2 > x > 7
e)
Pick D.



Senior Manager
Joined: 07 Jul 2005
Posts: 402

Oh dam... getting tired.... didn't read the question stem properly.
The answer should be B.



Senior Manager
Joined: 02 Oct 2005
Posts: 297

Sorry being so dumb on this one. Could you please explain in layman terms or point me to some basics? I still did not understand the solution



SVP
Joined: 28 May 2005
Posts: 1705
Location: Dhaka

i found it in OG as well.
the answer is wrong in OG.
if x is greater than 7
what about 9. it is greater than 7 but not less than 7 so x>7 will not always be true.
Answer is certainly E.
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Director
Joined: 26 Sep 2005
Posts: 572
Location: Munich,Germany

the answer's got to be E, B is ruled out, x can be euqal to 6, 5.. which doesnt satisfy the conditon in the question.



CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD  Class of 2008

Stem says "If it is true that x > 2 and x < 7" that means x must have values greater than 2 and less than 7.
Now take choices one by one keeping the stem in mind
a) x > 2  Will all values what x can take are greater than 2 (As per stem) NO (Examples 1,0,1)
b) x > 7  Will all values what x can take are greater than 2 (As per stem) YES. All values that x can take (as per stem) will always be greater than 7
c) x < 2  Will all values what x can take are greater than 2 (As per stem) NO (Examples 3,4,5)
d) 7 < x < 2  Will all values what x can take are greater than 2 (As per stem) NO (3,4,5)
Hope this helps
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SVP
Joined: 16 Oct 2003
Posts: 1801

7 6 5 4 3 2 1 0 1 2 3 4 5 6 7
As said above in the number line, x can be any number from 2 to 7. Also we know that as we go from left to right on the number line the number increases. 7 is less than 2 and 7 so this is the only answer which has to be always true.










