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

question 4

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

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Definitions:

Denmark

A country located in Northern Europe, recognized for its high standard of living, robust welfare state, and as the southernmost of the Scandinavian nations.

Poverty Line

The minimum level of income deemed adequate in a particular country, below which individuals are considered to live in poverty.

Poverty Line

The lowest amount of income considered sufficient for a basic standard of living in a specific country, under which an individual is classified as impoverished.

Poverty Rate

The proportion of the population living below the poverty line, indicating the percentage of people whose income is insufficient to meet the basic needs such as food, shelter, and clothing.