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

question 90

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:

Population

The total number of individuals of a specific species living within a particular geographical area.

Ecology

The branch of biology that studies the interactions among organisms and their biophysical environment, including both biotic and abiotic components.

Remote Sensing

The technique of obtaining information about objects or areas from a distance, typically from aircraft or satellites, used in mapping and observing environmental changes.

Landsat

A series of satellite missions jointly managed by NASA and the USGS that provide valuable data for earth observation and land monitoring.