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

question 90

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.
- $$\text { If } a \equiv b ( \bmod m ) , \text { then } 2 a \equiv 2 b ( \bmod 2 m )$$

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Definitions:

Impartiality

The principle of not being biased, treating all sides fairly without favoritism or prejudice.

Ethical Rules

Guidelines designed to dictate appropriate and moral behavior within a specific context or profession.

Adversarial System

A legal system where two opposing parties present their cases to an impartial judge or jury.

Ethical Rules

Prescribed guidelines designed to direct the behavior of individuals or members of a profession according to what is right or wrong.