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

question 22

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

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Definitions:

Payee

The individual or entity to whom money is paid or due to be paid.

Receiving

The act of accepting delivery of goods or property, often in the context of business transactions or the legal transfer of ownership.

Money

A medium of exchange, measure of value, or means of payment, typically in the form of coins and banknotes, used to facilitate transactions.

Uniform Commercial Code

A comprehensive set of laws that govern commercial transactions in the United States, intended to standardize legislations across states and simplify interstate commerce.