Disjoint and Overlapping Sets

Disjoint sets/ Mutually exclusive

• If there is no common element between two or more sets, then are said to be disjoint sets.
• Their intersection is always $\phi$.

Example:
$A$ $=\{1,$ $3,$ $5,$ $7,$ $9,$ $11,$ $13,$ $15\}$     and    $B$ $=\{0,$ $2,$ $4,$ $6,$ $8,$ $10,$ $12,$ $14\}$

$A$ and $B$ are disjoint sets because they lack any members in common.

Overlapping Sets

• If two sets share at least one member but neither is a subset of the other, they are said to be overlapping sets.
• Their intersection is a non-empty set.

Example:
$A$ $=\{0,$ $5,$ $10\}$  and  $B$ $=\{1,$ $3,$ $5,$ $7\}$

Because $5$ is a common element between $A$ and $B$, they are overlapping sets.