Question

lf A= {3, 5, 7, 9, 11}, B={7, 9, 11, 13 }, C={11, 13, 15} and D={15, 17 }; find $A \cap D$

Answer 1

we know, if two sets A and B are given then, intersection of A and B is the set of all distinct elements that are in both A and B. it is denoted by $A\cap B$ or $B\cap A$. in figure, shaded region indicates $A\cap B$.

here given, A = {3, 5, 7, 9, 11} , B = {7, 9, 11, 13}
C = {11, 13, 15} and D = {15, 17}
we have to find $A\cap D$
there is no any common element of A and D.
so, $A\cap D$ = $\emptyset$