The answer given by the TYS book is wrong.
Entropy is negative, as you've correctly understood, and therefore Gibbs free energy is positive, meaning this process is NOT spontaneous and feasible on it's own. It requires tremendous mechanical force and expensive partially permeable membranes to occur, which is why reverse osmosis is an expensive process. (If it were a natural, spontaneous process, why would corporations and governments need to spend millions of dollars on it?)