Question 5
Every positive rational number is colored either red or black, so that:
- x and x+1 have different colors;
- x and 1/x have the same color;
- 1 is red.
What color is $2012/2013$? (You are not asked to prove the existence of such a coloring.)
- x and x+1 have different colors;
- x and 1/x have the same color;
- 1 is red.
What color is $2012/2013$? (You are not asked to prove the existence of such a coloring.)