Final answer:
The statement is true; water will move from side B (the hypotonic side) to side A (the hypertonic side) through osmosis until isotonic conditions are reached.
Step-by-step explanation:
Tonicity and Water Movement
In the scenario where side A is hypertonic to side B, it means that side A has a higher solute concentration and, as a result, a lower water concentration compared to side B.
Water tends to move from an area of higher water concentration to one of lower water concentration, down its concentration gradient, through a process called osmosis.
Given that the membrane is selectively permeable and allows only water to move through it while preventing solute particles from doing so, water will indeed move from side B (hypotonic side) to side A (hypertonic side) until isotonic conditions are established, at which point there will be no net movement of water across the membrane.
Therefore, the statement in question is true.