The Yosemite Decimal Rating System is the current system used to grade climbs in the United States.
Class 5 of the system is where technical rock climbing begins. At this class a rope and protection are also needed to safeguard a fall. The climbs range from 5.0 being the easiest to 5.15b being the hardest. In July 2001 Chris Sharma made the first assent of Realization, the world’s first 5.15, in France. Then on October 15th 2011 Sasha Digiulian climbed the hardest climb by any women "pure imagination" (9a which is a 5.14d).
Below is a video of her assent:
This video really inspired me to believe anyone can accomplish anything when they work hard and put their minds to it.