Question

Let $A=\{1,2,3\}$ and $B=\{3,4\}$ then find $A\cap B$ and then find $A\times (A\cap B)$.

Answer 1

Given,

$A=\{1,2,3\}$ and $B=\{3,4\}$.

Now,

$A\cap B$

$=\left\{3\right\}$.

Now $A\times (A\cap B)$

$=\left\{\right(1,3),(2,3),(3,3\left)\right\}$.