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

question 143

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

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Definitions:

Internal Locus of Control

The belief that one has control over the outcomes of events in their lives, as opposed to external forces beyond their control.

Locus of Control

A psychological concept that refers to individuals' beliefs about the extent to which outcomes in their lives are controlled by internal versus external factors.

External Locus

A perspective that attributes success and failure to external factors and circumstances beyond one's personal control.