'deliberately' originates from Latin, specifically the word 'deliberatus,' where 'de-' meant 'down' and 'liberare' meant 'to weigh.' 'inspect' originates from Latin, specifically the word 'inspectare,' where 'in-' meant 'into' and 'spectare' meant 'to look.'

'deliberatus' transformed into the Old French word 'deliberer,' and eventually became the modern English word 'deliberate.' 'inspectare' transformed into the Old French word 'inspecter,' and eventually became the modern English word 'inspect.'

Initially, 'deliberate' meant 'to weigh or consider carefully,' and this meaning has largely remained the same in modern usage. 'Inspect' initially meant 'to look into or examine,' and this meaning has largely remained the same in modern usage.