Question

Find
i)$A\cap B$ if (i) $A=\{10,11,12,13\},B=\{12,13,14,15\}$

ii) $A=\{5,9,11\},B=\varnothing$

Answer 1

(i)
$A=\{10,11,12,13\}$ and $B=\{12,13,14,15\}$.

12 and 13
are common in both A and B.

$\therefore A\cap B=\{12,13\}$

(ii) $A=\{5,9,11\}$ and $B=\varnothing$.

There is no element in common
and hence $A\cap B=\varnothing$