Set Intersection/Examples/Overlapping Integer Sets

Example of Set Intersection

Let:

\(\ds A\)

\(=\)

\(\ds \set {x \in \Z: 2 \le x}\)

\(\ds B\)

\(=\)

\(\ds \set {x \in \Z: x \le 5}\)

Then:

$A \cap B = \set {2, 3, 4, 5}$

and so is finite.

Sources

• 1965: J.A. Green: Sets and Groups ... (previous) ... (next): Chapter $1$. Sets: Exercise $1$