The phrase 'set a challenge for' is correct and usable in written English.
You can use this phrase to express the idea of giving someone a difficult task to accomplish that requires effort or skill. For example, "We want to set a challenge for ourselves to save $500 by the end of the month."
Germany's resurgence has set a challenge for the euro zone's southern members.
And he is finding it at a company that has set a challenge for itself — staging major American shows on shoestring budgets.
Taking up residence for consecutive weeks, each group must set a challenge for the next, and make their home using modular furniture in an environment designed by Fabrica, the communications research arm of clothing giant Benetton.
To prove that gluten-free was no longer synonymous with subpar, I set a challenge for myself: I would present a dinner party and not disclose the secret until the end.
The Jacksonville, Florida based design company set a challenge for themselves -- to design one poster a day for each film in the franchise for 23 days until the release of the 23rd Bond film.
It has often taken Ms. Fleming a performance or two to settle into a demanding role when she sets a challenge for herself.
A brief reflection on the contribution of Ludwik Finkelstein and, echoing his own words, the continually changing and developing response to the push of advancing technology and the pull of changing requirements, setting a challenge for education in the field of measurement and instrumentation for future generations.
The growing body of recent data for CO2 and CH4 fluxes from a range of tropical wetlands should be utilized in global wetland models, setting a challenge for the modeling community.
The inherent multidimensional nature of the dual-modality data set posses a challenge for the effective visualization for diagnosis.
Martin Cruz Smith, the best-selling author known for works like "Gorky Park," detective thrillers that use Russia for a backdrop, set a huge challenge for himself with his newest novel and first book on Japan, "December 6".
He has set a real challenge for himself.
