Question

List the elements of $A\cap B$, if $A=\{$ colours of rainbow $\},B=\{$ Black, Purple, Violet, Green $\}$.

Answer 1

Find the intersection of given sets:

Given, the two set $A=\{$ colours of rainbow $\},B=\{$ Black, Purple, Violet, Green $\}$

We know that, intersection of sets is the set of elements which are common in all the given sets.

Since, the colours in rainbow are red, orange, yellow, green, blue, indigo, violet.

$\therefore$$A=\{$ red, orange, yellow, green, blue, indigo, violet$\}$

In the given two sets $A$ and $B$ the common elements are violet and green .

Hence, $A\cap B=$$\{$Violet, Green $\}$.