Answer
The given statement is false.
The correct one is statement (d).
Work Step by Step
$\Delta E_{system}=-\Delta E_{surroundings }$
Knowing that $\Delta E_{sys}$ is negative, we can say that $\Delta E_{surr}$ is positive.
Since the change in internal energy of the system is negative, the internal energy of the system decreases.
Since the change in internal energy of the surroundings is positive, the internal energy of the surroundings increases.
Therefore, the given statement is false.
The correct one is statement (d).