The phrase "master the challenge" is correct and usable in written English and it can be used to refer to the act of conquering or overcoming a difficult situation, task, or obstacle.
For example: John worked hard to master the challenge of passing his difficult math class.
To be sure, Shanghai's failure to master the challenge of the automobile reflects a mixture of forces, both economic and cultural.
Although such an introduction should be enough to deter any attempt to master the challenge, I shall try to map the terrain.
Manufacturing companies from high-wage countries are nowadays faced with the challenge to use new development processes in order to master the challenge to launch more innovative and complex products in even shorter time-to-market.
City dwellers will no doubt have a short learning curve to master the challenge, and many will find train service a better option than a bus or a cab.
How can we in Britain master the challenge of providing people with work that adds not just to the quantity of money in their pockets, but the quality of their lives?
R&D organizations, for their part, have been good at developing and combining mechanical and electrical components, and many have begun to master the challenge of incorporating software in products.
All around us is the wreckage of our failure to master the challenges confronting us.
Our histories fascinate our children and help them master the challenges of growing up.
In matrix organizations, leaders suddenly find themselves having to master the challenges of managing cross-divisional, international teams over whom they have little formal authority.
The computer industry's biggest merger, championed by executives involved as giving them the tools to master the challenges of the future, has suddenly found itself held captive by two concepts from the past: family and legacy.
Business leaders must confront their own preconceptions--particularly about the value of high-volume, low-margin businesses--for companies to master the challenges or reap the rewards of these developing markets.
