Here is the problem I am confused about. The given relation is:
$p + |k| \gt |p| + k$
It is not mentioned whether $p$ and $k$ are integers.
I need to determine whether $p$ and $k$ are equal or one is greater than other. If the second is true which one is greater.
To solve this inequality problem I was trying to consider the values of $p$ and $k$ with all combinations of signs i.e. $p$ positive and $k$ negative; $p$ negative and $k$ positive; and $p$ and $k$ both negative and positive.
When I assume both $p$ and $k$ are negative, I could not find the solution. The solution is in the book too. But I failed to understand the solution. Can anyone please help me to solve the problem? Thanks.