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Question: Consider the following relations : (1) \(A - B = A - ( A \cap B )\) (2) \(A = ( A \cap B ) \cup (...

Consider the following relations :

(1) A−B=A−(A∩B)A - B = A - ( A \cap B )

(2) A=(A∩B)∪(A−B)A = ( A \cap B ) \cup ( A - B )

(3) A−(B∪C)=(A−B)∪(A−C)A - ( B \cup C ) = ( A - B ) \cup ( A - C )

which of these is/are correct.

A

1 and 3

B

2 only

C

2 and 3

D

1 and 2

Answer

1 and 2

Explanation

Solution

is correct.

A=(A∩B)∪(A−B)A = ( A \cap B ) \cup ( A - B ) is correct. (3) is false.

∴ (1) and (2) are true.