question_answer

Consider the following relations :(1) \[A-B=A-(A\cap B)\](2) \[A=(A\cap B)\cup (A-B)\](3) \[A-(B\cup C)=(A-B)\cup (A-C)\]which of these is/are correct [NDA 2003]

A) 1 and 3

B) 2 only

C) 2 and 3

D) 1 and 2

Correct Answer: D

Solution :

\[A-B=A-(A\cap B)\] is correct. \[A=(A\cap B)\cup (A-B)\] is correct. (3) is false. \ (1) and (2) are true.