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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.
