Question

Find a set of four integers such that their order and the order of their absolute values are the same.

Answer 1

If you pick only positive numbers, the absolute value will have no effect, and the original set and the set of the absolute value will be exactly the same:

$A = \{1,2,3,4,5\}$

is still

$A = \{|1|,|2|,|3|,|4|,|5|\} = \{1,2,3,4,5\}$