Suppose R = {1, 3, 5, 7, 9, 11, 13, 15, 17} and D = {3, 6, 9, 12, 15, 18, 21, 24, 27}. What is R ∩ D? (
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, {\(\emptyset\)}.