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Senior Manager
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If it is true that x > -2 and x < 7, which of the [#permalink]
 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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Manager
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If x is between -2 and 7, x must be greater than -7.
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Senior Manager
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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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Current Student
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Re: PS: Inequality (OG# 9) [#permalink]
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?
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Senior Manager
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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?
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Senior Manager
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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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Director
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Re: PS: Inequality (OG# 9) [#permalink]
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!
_________________
Success is my only option, failure is not -- Eminem
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Senior Manager
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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.
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Senior Manager
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Oh dam... getting tired.... didn't read the question stem properly.
The answer should be B.
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Senior Manager
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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
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SVP
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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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hey ya......
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Director
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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.
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CEO
Joined: 20 Nov 2005
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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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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008
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SVP
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-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.
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