question_answer

If A, B, C are there sets, then what is \[A-(B-C)\]equal to?

A) \[A-(B\cap C)\]              

B) \[(A-B)\cup C\]

C) \[(A-B)\cup (A\cap C)\]

D) \[(A-B)\cup (A-C)\]

Correct Answer: C

Solution :

[c]Following Venn diagram shows the relation \[A-(B-C)\] In the above Venn diagram, horizontal lines shows (A - B) and vertical lines show \[(A\cap C)\] \[\therefore (A-B)\cup (A\cap C)=A-(B-C)\]