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Re: p + |k| > |p| + k [#permalink]
Can someone explain some more?
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Re: p + |k| > |p| + k [#permalink]
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another way could be to square both sides of the inequality

you would be left with P|K| > |P|K.....this can only be true when P>K.....

Therefore A..

Cheers.
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Re: p + |k| > |p| + k [#permalink]
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sumit0503 wrote:
another way could be to square both sides of the inequality

you would be left with P|K| > |P|K.....this can only be true when P>K.....

Therefore A..

Cheers.

CAn you please explain in detail?
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Re: p + |k| > |p| + k [#permalink]
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p+ |k| > |p|+k
squaring both sides and cancelling equal terms
p*|k| > |p|*k ----- our equation
|k| positive
|p| positive

Above inequality will only be possible if k is negative
How?
if k=1
p>|p| not possible
so p has to be positive ---- First conclusion

if k=-1 and p is greater than k say p=2 or p=1
p*|k| > negative
then our equation becomes true
So p > k
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Re: p + |k| > |p| + k [#permalink]
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I want to go back to school but I'm dreading the GRE. I'm at work so I thought I'd start looking at some questions to familiarize myself with the math. (I'm fine with the verbal part, but math kills me.)

This was the first question I saw, and I officially give up. :cry:
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Re: p + |k| > |p| + k [#permalink]
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ATT123 wrote:
I want to go back to school but I'm dreading the GRE. I'm at work so I thought I'd start looking at some questions to familiarize myself with the math. (I'm fine with the verbal part, but math kills me.)

This was the first question I saw, and I officially give up. :cry:

Don't give up. This is a pretty tricky question.
To get a better idea of what to expect on test day, use GRE Prep Club's filter to isolate official GRE questions
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Re: p + |k| > |p| + k [#permalink]
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ATT123 wrote:
I want to go back to school but I'm dreading the GRE. I'm at work so I thought I'd start looking at some questions to familiarize myself with the math. (I'm fine with the verbal part, but math kills me.)

This was the first question I saw, and I officially give up. :cry:


As GreenlightTestPrep pointed out: there is NOTHING , whatsoever, to give up.

Instead the GRE is the moment to double down and face the challenge.

It is just a test. Life could be tough. The GRE is just a test
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Re: p + |k| > |p| + k [#permalink]
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Given, p+|k|>|p|+k

and knowing the absolute value of a negative/positive number has got to give us a positive outcome, then logically P has got to be greater than K, otherwise the left side of the equality would yeild to K dominating P in case it is in negative form.

It might be easier to try a couple scenarios such as P=-1 and k=-2, if we reverse the values making k greater, then equality is not valid.

Answer is (A)
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Re: p + |k| > |p| + k [#permalink]
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I don't know if this is correct. But can't you just subtract |p| + |k| from both sides and get
p - |p| > k - |k|

Then it would follow that p > k

because if P is positive,
0 > k - |k| would imply k is negative because it can't be equal
0 > 2k
p > k

because if P is negative,
negative > k -|k| would imply k is negative again

and in the case of negatives, it is akin to saying
2p > 2k
p > k
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Re: p + |k| > |p| + k [#permalink]
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