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

question 121

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:

Day Hospital

A medical facility offering outpatient care and treatment during daytime hours, allowing patients to return home at night.

Sheltered Workshop

A supervised workplace designed specially for people with physical or mental disabilities, aimed at providing a protective and supportive environment for vocational training and employment.

Operant Conditioning

A method of learning that employs rewards and punishments for behavior. Through operant conditioning, an association is made between a behavior and a consequence for that behavior.

Token Economy

A reinforcement strategy in behavior therapy, where desirable behaviors are rewarded with tokens that can be exchanged for privileges or desired items.