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

question 103

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

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Definitions:

Promissory Statements

Brief declarations or assertions made with the intention of influencing the expectations or actions of others, often found in contracts or agreements.

Predictions

Forecasts or projections about future events or outcomes based on current data, trends, or analysis.

Fraud

Wrongful or criminal deception intended to result in financial or personal gain.

Objective Test

A standard or criteria based on factual measures, independent of personal feelings or opinions, used to assess a person's situation or actions.