Driving a load on negative rail with a positive signal
Here's one idea:





When the input is at 0V, Q1 is saturated, pulling the base of Q2 to almost +5V, so
Q2 is off, and D1 gets only leakage current. 

When the input is at 5V, Q1 is off, allowing the base of Q2 to fall to -0.6V, turning Q2 on and illuminating the LED D1.