Consider the following $C-$like statement

$k=k+(-1202)$

where $k$ is a $12-$bit integer variable. Show the largest possible range in decimal for $k$ that will not cause any overflow in sign$-$magnitude, one's compl excess$-2047$ respectively. Each range should be shown as $"[$min$,$max$]"($without the quotes$).$ The ranges should be shown in the given order and sep example, $-1,2$

$3,4$

$-5,6$

$7,8.$