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If $\mathrm{A}, \mathrm{B}, \mathrm{C}$ are three sets, then what is $\mathrm{A}-(\mathrm{B}-\mathrm{C})$ equal to?
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Verified Answer
The correct answer is:
$(A-B) \cup(A \cap C)$
Following venn diagram shows the relation $\mathrm{A}-(\mathrm{B}-\mathrm{C})$
In the above venn diagram, horizontal lines shows
(A-B) and vertical lines show $(\mathrm{A} \cap \mathrm{C})$
$(A-B) \cup(A \cap C)=A-(B-C)$
In the above venn diagram, horizontal lines shows
(A-B) and vertical lines show $(\mathrm{A} \cap \mathrm{C})$
$(A-B) \cup(A \cap C)=A-(B-C)$
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