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Re: PROBLEM 2
[#permalink]
14 Oct 2018, 11:27
14 Oct 2018, 11:27
ruposh6240 wrote:
p + |k| > |p| + k
21.
Quantity A
p
Quantity B
k
21.
Quantity A
p
Quantity B
k
Plz read the rules of posting ::https://gre.myprepclub.com/forum/rules-for-posting-please-read-this-before-posting-1083.html
Re: PROBLEM 2
[#permalink]
15 Oct 2018, 06:36
15 Oct 2018, 06:36
Expert Reply
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.
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.
