Definition of "compelling"

The dirty secret of the internet is that all this distraction and interruption is immensely profitable. Web companies like to boast about "creating compelling content", or offering services that let you "stay up to date with what your friends are doing", "share the things you love with the world" and so on.

2013 June 21, Oliver Burkeman, “The tao of tech”, in The Guardian Weekly, volume 189, number 2, page 27

Terry's goal looked to have put Chelsea in control on the stroke of half-time but Arsenal's response presented a compelling case for Wenger's insistence that reports of his side's demise have been greatly exaggerated.

2011 October 29, Phil McNulty, “Chelsea 3-5 Arsenal”, in BBC Sport