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Compression is a Pushing Force whereas Rarefaction is a Pulling Force[Compression is the point when the most force is being applied to a molecule&Rarefaction is the point when the least force is applied].

Compression happens when particles are forced/pressed together.Rarefaction is just the opposite,it occurs when particles are given extra space&allowed to expand.

Compression&Rarefaction are Effects the wave causes.

If you look at any normal visual representation of a Sound Wave,the humps above the middle line are called Compressions,the humps below are called Rarefactions.

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