Consider the following relations: 1. A−B=A−(A∩B) 2. A=(A∩B)∪(A−B) 3. A−(B∪C)=(A−B)∪(A−C)Which of these is/are correct?

A−B=A−(A∩B) is correct A=(A∩B)∪(A−B) is correct Relation 3 is false.Thus, relations 1 and 2 are true.

Consider the following relations: 1. A−B=A−(A∩B) 2. A=(A∩B)∪(A−B) 3. A−(B∪C)=(A−B)∪(A−C)Which of these is/are correct?

A−B=A−(A∩B) is correct A=(A∩B)∪(A−B) is correct Relation 3 is false.Thus, relations 1 and 2 are true.

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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?

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2 only

2 and 3

1 and 3

1 and 2

answer is C.

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Detailed Solution

$A - B = A - (A \cap B) is correct$

$A = (A \cap B) \cup (A - B) is correct$

Relation 3 is false.
Thus, relations 1 and 2 are true.

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Consider the following relations: 1. A−B=A−(A∩B) 2. A=(A∩B)∪(A−B) 3. A−(B∪C)=(A−B)∪(A−C)Which of these is/are correct?

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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?