Sentence Correction

The fact that boxing is known to cause head injuries and brain damage SHOULD LEAD US TO INFORM the public and push for a ban on boxing.

A. Should lead us to inform
B. Could lead us to inform
C. Should of led us to inform
D. Should have led us to inform,
E. Will lead us to inform

I chose option E. But the solution says option A. can someone help me with this plz.

'should' is used to imply a suggestion/opinion/judgement whereas 'will' implies a natural deduction. Hence, A is a right choice IMO

Thanks
Nitesh

Thanks .. i really should have known that .. dumb of me.