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

question 97

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

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Definitions:

Separated

Describes a state where two or more entities are physically or symbolically disjoined or kept apart.

Formal Operational

The stage in Piaget's theory of cognitive development where individuals gain the ability to think abstractly, logically, and systematically.

Concrete Operational

A stage in Piaget's theory of cognitive development during which children gain the ability to think logically about concrete events.

Preoperational

A stage in Piaget’s cognitive developmental theory during which children from ages 2 to 7 engage in symbolic play and struggle with taking the perspective of others.