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On the number line, if the number k is to the left...

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tesparza
 Post subject: On the number line, if the number k is to the left...
 Post Posted: Sun Sep 12, 2010 7:18 pm 
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Course Students


Posts: 3
On the number line, if the number k is to the left of the number t, is the product kt to the right of t?

(1) t < 0

(2) k < 1

Answer is A

I'm having trouble figuring out the best approach for this question. I especially had trouble figuring out exactly what the statement is asking. Is there an easier way to rephrase this problem?

Thanks
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jalaj.chhalotre
 Post subject: Re: On the number line, if the number k is to the left...
 Post Posted: Wed Sep 15, 2010 11:45 am 
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Students


Posts: 3
tesparza wrote:
On the number line, if the number k is to the left of the number t, is the product kt to the right of t?

(1) t < 0

(2) k < 1

Answer is A

I'm having trouble figuring out the best approach for this question. I especially had trouble figuring out exactly what the statement is asking. Is there an easier way to rephrase this problem?

Thanks


Draw number line, place k and t as mentioned in question.
A --> ____k____t______0__
as k and t both are left of zero, (negative) their product will be positive.

B --> multiple possibilities.
as on below number lines (i am drawing only 3, u can try more by moving t around 0 and 1)
____k__0__t________ kt negative so on left of t
____k__ t___0_____ kt positive so on right of t
_0__k___1___t________ kt is positive but k<1 so kt<t therefore kt on left of t
So the answer A.
Hope this helps!
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RonPurewal
 Post subject: Re: On the number line, if the number k is to the left...
 Post Posted: Thu Sep 16, 2010 7:59 am 
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ManhattanGMAT Staff


Posts: 7146
jalaj.chhalotre wrote:
tesparza wrote:
On the number line, if the number k is to the left of the number t, is the product kt to the right of t?

(1) t < 0

(2) k < 1

Answer is A

I'm having trouble figuring out the best approach for this question. I especially had trouble figuring out exactly what the statement is asking. Is there an easier way to rephrase this problem?

Thanks


Draw number line, place k and t as mentioned in question.
A --> ____k____t______0__
as k and t both are left of zero, (negative) their product will be positive.

B --> multiple possibilities.
as on below number lines (i am drawing only 3, u can try more by moving t around 0 and 1)
____k__0__t________ kt negative so on left of t
____k__ t___0_____ kt positive so on right of t
_0__k___1___t________ kt is positive but k<1 so kt<t therefore kt on left of t
So the answer A.
Hope this helps!


this is a nice solution.

--

to the original poster:
yes, there's an easy rephrase:

Quote:
On the number line, if the number k is to the left of the number t,

this just means k < t.

Quote:
is the product kt to the right of t?

this means "is kt > t ?"

hope that helps -- once you've done this rephrase, you should be able to understand the impressively comprehensive solution posted by the poster above.
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