At first glance, this statement seems to be true. But after about a
microsecond of further consideration, one realizes that the statement
would actually set Boyle spinning in his grave, and is false.
Boyle's law states that there is a firm relationship among the pressure,
temperature, and volume of an ideal gas, and that you can't say anything
about how any two of these quantities depend on each other, unless you
also say what's happening to the third one at the same time.
As the pressure of an ideal gas increases, the volume will decrease in
direct proportion to the volume, IF THE TEMPERATURE OF THE GAS
REMAINS CONSTANT.
If you wanted to, you could increase the pressure AND the volume of an
ideal gas both at the same time. You would just need to warm it enough
while you squeeze it.
