Set Definition by Predicate/Examples/Integers Less Than or Equal to 5

Examples of Set Definition by Predicate

Let $S$ be the set defined as:

$S := \set {x \in \Z: x \le 5}$

Then $S$ is the set of all integers less than or equal to $5$:

$S = \set {\ldots, 2, 3, 4, 5}$

Sources

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