Answer :

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[tex]R\cap D=\{3,9,15\}[/tex]
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ANSWER

The elements in both sets is written as

[tex]R\cap D=[/tex] [tex]3,9,15[/tex]


EXPLANATION

The first set is

R={[tex]1,2,3,5,7,9,11,13,15,17[/tex]}.


The second equation is


[tex]D=[/tex]{[tex]3,6,9,12,15,18,21,24,18,27[/tex]}.


The intersection of the two sets denoted by [tex]R\cap D[/tex] 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

[tex]R\cap D=[/tex] [tex]3,9,15[/tex]


Note that when there is no element in common to both sets, then the intersection is the null set, {[tex]\emptyset[/tex]}.



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