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PROBLEM 2

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Intern
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PROBLEM 2 [#permalink] New post 14 Oct 2018, 08:35
\(p + |k| > |p| + k\)


Quantity A
Quantity B
p
k
Director
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Re: PROBLEM 2 [#permalink] New post 14 Oct 2018, 11:27
ruposh6240 wrote:
p + |k| > |p| + k
21.
Quantity A
p
Quantity B
k



Plz read the rules of posting ::https://greprepclub.com/forum/rules-for-posting-please-read-this-before-posting-1083.html
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Re: PROBLEM 2 [#permalink] New post 15 Oct 2018, 06:36
Expert's post
Please share the source and the correct answer.

We have \(p + |k| > |p| + k\)

rearranging it we get \(p - |p| > k - |k|\)

If p and k are both positive then \(p - |p| = k - |k|=0\)

However, if p and k are both negative then \(p - |p|= 2p\) and \(k - |k| =2k\) So \(p > k\).

Example p= -2 and k =-5 \(-2 + |-5| > |2| -5\)

If p is positive and k is negative then \(p - |p| > k - |k|\) or \(0 > k - |k|\) or \(k <0\). The inequality still holds.

Finally, if p is negative and k is positive \(p - |p| > 0\) or \(p > 0\) which is not possible as p is negative.

Hence p has to be greater than k. Option A is correct.
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Re: PROBLEM 2   [#permalink] 15 Oct 2018, 06:36
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