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(A) Let mm Be a Positive Integer Greater Than 2 RR Consisting of Those Ordered Pairs of Integers (A, B)

question 21

Essay

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

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Definitions:

Last Record Button

A control element in database applications that allows users to quickly navigate to the last entry or record in a dataset.

Navigation Bar

A graphical interface element used in websites or applications for navigating between pages or sections.

Next Record Button

A control in database applications that navigates to the following record in a dataset.

END Key

A keyboard key used to navigate to the end of a line of text, document, or page.

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