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

question 152

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

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Definitions:

Economic Crisis

A situation characterized by a significant decline in the economy of a country or globally, leading to a decrease in consumer wealth, business failures, and increased unemployment.

Central Treasury

A central department or facility responsible for managing the government's revenue, money, and financial policies.

Deflationary Measure

Economic policies or actions designed to reduce the overall level of prices within an economy, often to tackle inflation or to stabilize economic conditions.

Economic Expansion

The phase of the business cycle where economic activity is increasing, characterized by rising GDP, lower unemployment, and increased industrial production.