Verified Answer :

\(R\cap D=\{3,9,15\}\)

ANSWER

The elements in both sets is written as

\(R\cap D=\) \(3,9,15\)


EXPLANATION

The first set is

R={\(1,2,3,5,7,9,11,13,15,17\)}.


The second equation is


\(D=\){\(3,6,9,12,15,18,21,24,18,27\)}.


The intersection of the two sets denoted by \(R\cap D\) are the elements that are found in set R that are also in set D.


These elements are 3,9 and 15.


So we write

\(R\cap D=\) \(3,9,15\)


Note that when there is no element in common to both sets, then the intersection is the null set, {\(\emptyset\)}.