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

question 27

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

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Definitions:

Loss Of Liberty

The deprivation of individual freedoms and rights, often occurring through legal, political, or military means.

English Colonists

Early settlers from England who established colonies in North America, including the thirteen colonies that became the United States.

Native Americans

Indigenous peoples of the United States, including those who were living in the land that is now the U.S. before European colonization.