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

question 31

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

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Definitions:

Keynes

An economist who revolutionized economic thinking with theories on government spending's effects on economic cycles.

Depression

A prolonged and severe downturn in economic activity, characterized by significant unemployment, declining output, and deflation.

Interest Rate

The component of a loan levied as interest to the borrower, usually characterized as an annual percentage of the outstanding loan value.

Aggregate Demand

Total economic interest in goods and services, assessed at a uniform price level throughout a specific period.