Can peace exist without justice?

"The moral arc of the universe is long, but it bends toward justice."  - Martin Luther King, Jr.
On this, the last official day of our Peace and Conflict Global Action Month, I find myself thinking a lot about the relationship between peace and justice.  Many people would say that you can't have peace in a place where justice is absent.  I am glued to the TV, watching the events unfolding in Egypt, Tunisia, Yemen, and elsewhere.  These are movements--largely led by youth-- demanding justice, freedom of expression, voice, and an opportunity to participate.  I wonder if Egypt will ever be a society truly at peace with itself so long as so many people feel repressed and angry.
What do you think everyone?  What is the relationship between peace and justice?
(Photo from New York Times Jan 31, 2011)