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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