The action of putting something inside or including it
When to use
Putting items in a bag, Putting food in a bowl, Including information in a document
The nuance
Used when placing something inside a space or including it within a range.
넣다 (neoh-da, neohda) · 빼다 (ppae-da, ppaeda)
'넣다' refers to putting something in, while '빼다' means taking something out or removing it.

One lane per word — no nested boxes, just the gist.
The action of putting something inside or including it
When to use
Putting items in a bag, Putting food in a bowl, Including information in a document
The nuance
Used when placing something inside a space or including it within a range.
The action of taking something out or removing it
When to use
Taking water out of a cup, Removing pages from a book, Excluding time from a schedule
The nuance
Used when taking something out from a space or removing it from a range.
가방에 책을 넣었어요.
ga-bang-e chaek-eul neoh-eoss-eo-yo., ga bang e chaek eul neoh eoss eo yo.
Because placing a book inside a bag is an act of putting in, '넣다' is appropriate.
가방에서 책을 넣었어요.
ga-bang-e-seo chaek-eul neoh-eoss-eo-yo., ga bang e seo chaek eul neoh eoss eo yo.
'가방에서' implies taking out from the bag, so '빼다' should be used instead of '넣다'.
컵에 물을 넣어 주세요.
keop-e mul-eul neoh-eo ju-se-yo., keop e mul eul neoh eo ju se yo.
Pouring water into a cup is putting in, so '넣다' is correct.
컵에서 물을 넣어 주세요.
keop-e-seo mul-eul neoh-eo ju-se-yo., keop e seo mul eul neoh eo ju se yo.
'컵에서' means taking water out, so '빼다' should be used.
책에서 중요한 부분을 빼세요.
chaek-e-seo jung-yo-han bu-bun-eul ppae-se-yo., chaek e seo jung yo han bu bun eul ppae se yo.
Removing parts from a book is an act of taking out, so '빼다' is appropriate.
책에 중요한 부분을 빼세요.
chaek-e jung-yo-han bu-bun-eul ppae-se-yo., chaek e jung yo han bu bun eul ppae se yo.
'책에' implies putting in, so '넣다' should be used.
일정에서 회의 시간을 빼 주세요.
il-jeong-e-seo hoe-ui si-gan-eul ppae ju-se-yo., il jeong e seo hoe ui si gan eul ppae ju se yo.
Excluding time from a schedule is removing, so '빼다' is correct.
일정에 회의 시간을 빼 주세요.
il-jeong-e hoe-ui si-gan-eul ppae ju-se-yo., il jeong e hoe ui si gan eul ppae ju se yo.
'일정에' implies adding, so '넣다' should be used.
What verb fits: '가방에서 책을 ___?'
What verb fits: '컵에 물을 ___?'
What verb fits: '책에서 페이지를 ___?'