Well, we should check out/up on every possibility.

[angliholic]

Well, we should check out every possibility.
Well, we should check every possibility.
Well, we should check up every possibility.
Well, we should check up on every possibility.



All of the above sound equally well to me, but I suspect if they all make sense and carry about the same idea to you.

[Buddhaheart]

Well, we should check out (= make a systematic inspection of; examine the validity of;verify; examine or investigate) every possibility.

Well, we should check (= find out;make an inquiry into, search through; investigate; compare and examine to prove true or correct;investigate or verify;inspect so as to determine accuracy, quality, or other condition; test) every possibility.


Well, we should check up (see below) every possibility.


Well, we should check up on ( = test the truth or soundness of; find out about; seek more info; investigate, scrutinize, or inspect; compare and examine to prove true or correct) every possibility.

As can be seen, the above 4 sentences “make sense and carry about the same idea.”

[angliholic]

Thanks, Buddhaheart for your kind heart.