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:

Addison Disease

A disorder in which the adrenal glands don't produce sufficient steroid hormones.

Secretion

The process by which substances are produced and discharged from a cell or gland for a particular function in the organism or for excretion.

Antidiuretic Hormone

A hormone produced by the pituitary gland that regulates water balance by reducing urine production.

Vasopressin

A hormone produced by the hypothalamus and stored in the pituitary gland, regulating water retention in the body.