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Let X and Y be sets. Prove X −(X −Y ) ⊆ X ∩Y . (Hint:...

Let X and Y be sets. Prove X −(X −Y ) ⊆ X ∩Y . (Hint: Remember that s ∈ S − T means s ∈ S and s ∈/ T . Thus, s ∈/ S − T means s ∈/ S or s ∈ T .)

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