a-(a-b)=a intersection b
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Answered by
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You have that by definition X−Y=X∩Yc. Thus
A−(A−B)=A∩(A−B)c=A∩(A∩Bc)c=A∩(Ac∪B)=(A∩Ac)∪(A∩B)=∅∪(A∩B)=A∩B.
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3
It is clearly described in Venn diagram
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