"worth challenging" is correct and usable in written English.
You can use it when you think something is challenging but ultimately beneficial to do. For example: "The hike up the mountain will be difficult but I think it's worth challenging ourselves."
But it is worth challenging one optimistic assumption, particularly because of its wider implications.
Reimbursements like the $13.60 I received for that polio vaccine -- 80percentt of $17 -- are probably worth challenging.
It's got so it's not worth challenging it, it is not worth arguing about because it just doesn't change anything," said Bea Larby, 15.
But all these threats reflect the search by America's adversaries for an Achilles' heel a way to strike at the vulnerable points of a country whose preponderance in almost every kind of weapon is too great to be worth challenging.
But given that Web booking tools for frequent flier tickets do not always display all the available options for award seats, particularly on partner carriers, Mr. Winship said the phone booking fee was sometimes worth challenging.
If you do go into unauthorised overdraft by mistake, it is always worth challenging the high charges levied by your account provider and, after explaining the circumstances, asking them to consider waiving the penalties.
Self-realisations that might undermine one's ability to work for certain firms, or transform the basis of one's self-worth, or challenge one's assumption of self-efficacy, are not encouraged.
If you ever question your beauty or self-worth, I challenge you to ask yourself why you feel this way.
Mr. Kane speaks for his peers when he says that the project has been challenging — but worth the effort.
Does Britain's first female prime minister fulfil the museum's criteria of radicalism, such as believing in ideas worth fighting for and challenging convention?
They argue that such an approach can not only be damaging to an individual's self-worth but is also challenging because it views the difficulties that autistics face as straightforwardly emanating from their own 'condition', rather from the changeable nature of the world around them (e.g. Bagatell, 2010).
