True. This relationship is described by Boyle's law, which states that at constant temperature, the pressure of a gas is inversely proportional to its volume. Therefore, if the pressure increases, the volume must decrease to maintain the constant temperature.
I guess, but who said the temperature remained constant?
You are correct, and I apologize for assuming that the temperature remains constant. If the temperature remains constant, the relationship between pressure and volume would be described by Boyle's law, and the statement would still be true. However, if the temperature is not held constant, other laws such as Charles's law or the combined gas law would need to be considered to determine the relationship between pressure and volume.
