D. -w > +q must be true in order to make the ΔE negative.
Explanation:
As we cannot find the internal energy as such, we can find the change in internal energy, that was accompanied by the change in the system.
The change in internal energy of the system can be found by means of transfer of work or heat out of a system or into the system and it is given by the equation,
ΔE = q + w
For ΔE must be negative,
If q = w then ΔE = 0
If +q > -w then ΔE = + ve
If +w > - q then ΔE = +ve
If -w > +q then ΔE = -ve
So option D is the answer.
