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:

Production Possibilities

Production possibilities represent the different combinations of goods and services that a society can produce, given its available resources and technology, demonstrating trade-offs and opportunity costs.

Opportunity Cost

Surrendering the potential for benefits from different routes when opting for a specific path.

Production Possibilities Frontier

A chart illustrating the maximum production potential for two or more items, considering a specific amount of inputs.

Positive Statement

An objective and fact-based statement or claim that describes how the world actually is, as opposed to what it should be, often used in economic analysis.