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

question 103

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

---

Definitions:

Physical Exercise

Bodily activity that enhances or maintains physical fitness and overall health and wellness.

Memory

The cognitive function that allows us to encode, store, and retrieve information from the past.

Cognition

The process of obtaining information and grasping its meaning through intellectual engagement, personal experiences, and the use of our sensory organs.

Alert

The state of being watchful and prompt to meet danger or emergency, or to act if necessary.