[ Intermediate Value Theorem. Connectedness ]

(Continuation of problem $\underline{32796})$

Standing in the corner, Clive took apart his wristwatch to see how it works. Putting it back together, he randomly placed the hour and minute hands. Will he be able to rotate the dial so that at least once a day the watch shows the correct time (the watch has not been wound yet)?

#
Since the angle between the hour and minute hands of a working clock takes on all possible values, Clive will be able to rotate the dial as needed.

## Answer

He will be able to.