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

question 32

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

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Definitions:

Producer Surplus

The difference between the amount producers are willing and able to supply a good for and the actual amount they receive (market price).

Consumer Surplus

Consumer surplus is the difference between the total amount that consumers are willing and able to pay for a good or service and the total amount that they actually do pay.

Producer Surplus

The difference between what producers are willing to accept for a good versus what they actually receive.

Producer Surplus

The difference between what producers are willing to accept for a good versus what they actually receive, often seen as a measure of producer welfare.