Determine Whether Each of the Following "Theorems" Is True or False

question 60

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c, d,
and m are integers with m > 1.
- $$\text { If } a \equiv b ( \bmod m ) , \text { then } a \equiv b ( \bmod 2 m ) \text {. }$$

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Definitions:

Public Speech

The act of delivering a speech to an audience in a formal or public setting.

Dissonance Reduction

A psychological phenomenon where individuals alter their attitudes, beliefs, or behaviors to decrease the discomfort caused by inconsistencies between them.

Inconsistent Cognitions

The psychological state of having conflicting beliefs, attitudes, or thoughts, which can lead to discomfort and a drive to resolve the inconsistency.

Trivialize Cognitions

The process of minimizing or reducing the perceived importance or value of thoughts and beliefs.