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

question 60

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

---

Definitions:

School Achievement

The extent to which a student has attained their short or long-term educational goals, often measured by grades, test scores, and other academic indicators.

Self-Respect

A sense of one's own dignity or worth, often manifested in confidence and self-assurance.

Functions of a Family

The various roles and responsibilities fulfilled by a family unit, which may include providing emotional support, socialization, economic sustenance, and maintaining cultural heritage.

Stress Resilience

The ability of an individual to withstand and recover from stressors and adverse conditions without long-term negative effects on their mental health.