1.Set Theory
easy

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

A

$1$ and $3$

B

$2$ only

C

$2$ and $3$

D

$1$ and $2$

Solution

(d) $A – B = A – (A \cap B)$ is correct.

$A = (A \cap B) \cup (A – B)$ is correct.

$(3)$ is false.

$\therefore (1)$ and $(2)$ are true.

Standard 11
Mathematics

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