Question

how compressibility is negligible in solids

Answer 1

because they are rigid , have definite volume , shape and mass . Their is Maximum force of attraction between them . so they have negligible compressibility .
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Answer 2

Hey friend here is your answer
Solids are rigids .They have definite shape and volume .In solids compressibiliy is negligible because in solids there is very strong intermolecular force between molecules.
Solids are already compressed.
Hope it will help you.