Question

{1,3,5,7,9} and {3,5,12,15} are sets.

• A. overlapping
• B. disjoint
• C. equivalent
• D. equal

Answer 1

The correct option is A overlapping

Let $A$={1,3,5,7,9} and $B$={3,5,12,15}.
Note that A and B contain the elements 3 and 5 in common. Thus, $A$ and $B$ are overlapping sets, and thus not disjoint sets.
Since the cardinality of $A$ is 5 and that of $B$ is 4, it is clear that $A$ and $B$ are not equivalent sets.
Also, since every element of $A$ is not an element of $B$ and vice-versa, $A$ and $B$ are not equal sets.