What would you say about a drummer living in a badly insulated flat above a couple with a new baby who needed to sleep, and wanted to practice for 15 hours a day? Also, the terms of many leases/tenancy agreements may restrict noise. If you are required not to make "unreasonable" noise, the definition of unreasonable may well be in the eyes of the complainer.
If a Local Authority issues a Noise Abatement Notice, following complaints, then you either shut up, or you risk a £5,000 fine and/or confiscation of your equipment.
Here's a fairly accurate advice leaflet from Wrexham Council (the first one I found) which pretty much sums up the position.
Dynamite with a laser beam...