This means the magnitude of the entropy "loss" from the hot reservoir, | d S Res 1 | = δ δ Q 1 T Hot is equal to or less than the magnitude of the entropy "gain" d S Sys 1 = δ δ Q 1 T 1 ( ≥ ≥ 0 ) by the system, so the net entropy change d S Total 1 is zero or positive.