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

question 147

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

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Definitions:

Participating

In a management context, a leadership style characterized by sharing decision-making responsibilities with team members, promoting a sense of ownership and involvement.

Telling

The act of giving explicit instructions or information, often within an educational or managerial context to guide actions or decision-making.

Selling

The act of persuading someone to buy a product or service, typically involving identifying customer needs and demonstrating how a product meets them.

Delegating

The process of assigning responsibility and authority to others to carry out specific activities, while retaining accountability for the outcome.