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If it is true that x > -2 and x < 7, which of the

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Senior Manager
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If it is true that x > -2 and x < 7, which of the [#permalink] New post 06 Nov 2005, 11:41
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B
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E

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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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 [#permalink] New post 06 Nov 2005, 15:01
If x is between -2 and 7, x must be greater than -7.
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 [#permalink] New post 06 Nov 2005, 18:17
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,
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Re: PS: Inequality (OG# 9) [#permalink] New post 07 Nov 2005, 07:26
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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 [#permalink] New post 07 Nov 2005, 19:44
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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 [#permalink] New post 07 Nov 2005, 22:16
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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Re: PS: Inequality (OG# 9) [#permalink] New post 08 Nov 2005, 16:41
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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 [#permalink] New post 08 Nov 2005, 21:00
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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 [#permalink] New post 08 Nov 2005, 21:03
Oh dam... getting tired.... didn't read the question stem properly.

The answer should be B.
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 [#permalink] New post 09 Nov 2005, 09:47
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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 [#permalink] New post 09 Nov 2005, 12:50
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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 [#permalink] New post 26 Dec 2005, 22:11
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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 [#permalink] New post 27 Dec 2005, 00:05
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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 [#permalink] New post 27 Dec 2005, 08:49
-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.
  [#permalink] 27 Dec 2005, 08:49
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