(A) Let $m$ Be a Positive Integer Greater Than 2 $R$ Consisting of Those Ordered Pairs of Integers (A, B)

question 21

Essay

(a) Let $m$ be a positive integer greater than 2 . Show that the relation $R$ consisting of those ordered pairs of integers (a, b) with $a \equiv \pm b$ (mod m) is an equivalence relation.
(b) Describe the equivalence classes of this relation where $m$ =4 .

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Erich Von Stroheim

An Austrian-American director, actor, and producer, known for his meticulous attention to detail and portrayal of decadence in early cinema.

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Silent Film Comedian

A performer specializing in comedy who acted in silent films, a genre prevalent before the advent of synchronized sound for motion pictures.